Table of contents 目次

2×10130-1379

c123

name 名前Ignacio Santos
date 日付December 28, 2021 22:00:43 UTC 2021 年 12 月 29 日 (水) 7 時 0 分 43 秒 (日本時間)
composite number 合成数
180493160198157303814110166509181872064769465156260193633242753743353689081200741216821532956746989101091989936459458623581<123>
prime factors 素因数
175920824595013786213311483077338024519316359307<48>
1025990871823557343899656545690402110379948736366238740768407163570051987383<76>
factorization results 素因数分解の結果
N=180493160198157303814110166509181872064769465156260193633242753743353689081200741216821532956746989101091989936459458623581
  ( 123 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=175920824595013786213311483077338024519316359307 (pp48)
 r2=1025990871823557343899656545690402110379948736366238740768407163570051987383 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.97 hours.
Scaled time: 15.57 units (timescale=7.899).
Factorization parameters were as follows:
n: 180493160198157303814110166509181872064769465156260193633242753743353689081200741216821532956746989101091989936459458623581
m: 100000000000000000000000000000000
deg: 4
c4: 200
c0: -137
skew: 0.91
# Murphy_E = 1.238e-08
type: snfs
lss: 1
rlim: 1040000
alim: 1040000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1040000/1040000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [520000, 1020001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167331 x 167579
Total sieving time: 1.95 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1040000,1040000,26,26,47,47,2.3,2.3,100000
total time: 1.97 hours.
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10139-1379

c108

name 名前Ignacio Santos
date 日付December 29, 2021 09:40:29 UTC 2021 年 12 月 29 日 (水) 18 時 40 分 29 秒 (日本時間)
composite number 合成数
133447506156395592710959512641393534111110704836975355248265588710703446083378890178480669248125645311724033<108>
prime factors 素因数
676525346407186484169621163554315510501652272271<48>
197254259378592926135701258987396381552389849681435242995823<60>
factorization results 素因数分解の結果
N=133447506156395592710959512641393534111110704836975355248265588710703446083378890178480669248125645311724033
  ( 108 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=676525346407186484169621163554315510501652272271 (pp48)
 r2=197254259378592926135701258987396381552389849681435242995823 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.16 hours.
Scaled time: 32.43 units (timescale=7.788).
Factorization parameters were as follows:
n: 133447506156395592710959512641393534111110704836975355248265588710703446083378890178480669248125645311724033
m: 100000000000000000000000000000000000
deg: 4
c4: 1
c0: -685
skew: 5.12
# Murphy_E = 5.258e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1155001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 231384 x 231632
Total sieving time: 4.13 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,100000
total time: 4.16 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10152-1379

c143

name 名前Ignacio Santos
date 日付December 30, 2021 22:43:07 UTC 2021 年 12 月 31 日 (金) 7 時 43 分 7 秒 (日本時間)
composite number 合成数
73229101293331635047953599162052282222233726514035404622088255732650580635759335140657577184288352287197821628440100013772819527597873922366541<143>
prime factors 素因数
1462775064577944032102394009215396443<37>
50061764837685759745422923627080820197168684677429250043975343805920762572970918209232368377330580286932087<107>
factorization results 素因数分解の結果
N=73229101293331635047953599162052282222233726514035404622088255732650580635759335140657577184288352287197821628440100013772819527597873922366541
  ( 143 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=1462775064577944032102394009215396443 (pp37)
 r2=50061764837685759745422923627080820197168684677429250043975343805920762572970918209232368377330580286932087 (pp107)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.29 hours.
Scaled time: 102.88 units (timescale=7.740).
Factorization parameters were as follows:
n: 73229101293331635047953599162052282222233726514035404622088255732650580635759335140657577184288352287197821628440100013772819527597873922366541
m: 100000000000000000000000000000000000000
deg: 4
c4: 2
c0: -137
skew: 2.88
# Murphy_E = 1.288e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 396110 x 396336
Total sieving time: 13.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,152.000,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 13.29 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10156-1379

c102

name 名前Ignacio Santos
date 日付December 29, 2021 10:40:12 UTC 2021 年 12 月 29 日 (水) 19 時 40 分 12 秒 (日本時間)
composite number 合成数
138376788377222293111144745252822735939292805546508307959167280684715049101353072340702278176847047909<102>
prime factors 素因数
113483256747001788897709387159867233995079644576389<51>
1219358629138727001599752190064995524528511452243681<52>
factorization results 素因数分解の結果
prp51 = 113483256747001788897709387159867233995079644576389
prp52 = 1219358629138727001599752190064995524528511452243681
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10165-1379

c155

name 名前Ignacio Santos
date 日付January 4, 2022 19:00:47 UTC 2022 年 1 月 5 日 (水) 4 時 0 分 47 秒 (日本時間)
composite number 合成数
45613818551480379762483451143845207962626565726562196688953573165330846798372408209952553735007090978609897414236763285586404399304043505222540277047451793<155>
prime factors 素因数
1136759368942172264623776880874156521<37>
44240771413861940298078869774690104745778151<44>
906995635753236962866417731506644080467002618638896613830312654318307643183<75>
factorization results 素因数分解の結果
N=45613818551480379762483451143845207962626565726562196688953573165330846798372408209952553735007090978609897414236763285586404399304043505222540277047451793
  ( 155 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=1136759368942172264623776880874156521 (pp37)
 r2=44240771413861940298078869774690104745778151 (pp44)
 r3=906995635753236962866417731506644080467002618638896613830312654318307643183 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 24.56 hours.
Scaled time: 192.66 units (timescale=7.843).
Factorization parameters were as follows:
n: 45613818551480379762483451143845207962626565726562196688953573165330846798372408209952553735007090978609897414236763285586404399304043505222540277047451793
m: 1000000000000000000000000000000000
deg: 5
c5: 2
c0: -137
skew: 2.33
# Murphy_E = 3.486e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 4000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 727636 x 727863
Total sieving time: 24.36 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 24.56 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10168-1379

c129

name 名前Bob Backstrom
date 日付January 7, 2022 13:44:48 UTC 2022 年 1 月 7 日 (金) 22 時 44 分 48 秒 (日本時間)
composite number 合成数
117450770002253507102778867307074713945821222782437572619657462133968574800976368601261296146498106454931171572058397205195257819<129>
prime factors 素因数
7738666712300412789381256784945267339835524060109579038887091<61>
15177132491772583059410681768350773911190316817606752016955686014009<68>
factorization results 素因数分解の結果
Number: n
N=117450770002253507102778867307074713945821222782437572619657462133968574800976368601261296146498106454931171572058397205195257819  ( 129 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Jan  8 00:40:05 2022  p61 factor: 7738666712300412789381256784945267339835524060109579038887091
Sat Jan  8 00:40:05 2022  p68 factor: 15177132491772583059410681768350773911190316817606752016955686014009
Sat Jan  8 00:40:05 2022  elapsed time 00:10:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 2x10^168-137 = 4(166)14
#
n: 117450770002253507102778867307074713945821222782437572619657462133968574800976368601261296146498106454931171572058397205195257819
m: 1000000000000000000000000000000000
deg: 5
c5: 2000
c0: -137
skew: 0.58
# Murphy_E = 2.57e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2679970 hash collisions in 20684921 relations (18750198 unique)
Msieve: matrix is 560998 x 561223 (189.3 MB)

Sieving start time : 2022/01/07 23:11:27
Sieving end time  : 2022/01/08 00:29:24

Total sieving time: 1hrs 17min 57secs.
Total relation processing time: 0hrs 4min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 09:35:32 UTC 2022 年 1 月 5 日 (水) 18 時 35 分 32 秒 (日本時間)

2×10171-1379

c149

name 名前Bob Backstrom
date 日付January 7, 2022 00:30:55 UTC 2022 年 1 月 7 日 (金) 9 時 30 分 55 秒 (日本時間)
composite number 合成数
25439136748027461184395887709238230385335759898020126995924154067811420129753660393558900444350253208382715274580921018895150781683527983783922861537<149>
prime factors 素因数
10165021667594065056669226052205075662887105187<47>
2502615103037806933716245854161258061947796149862109711155632708136568546265357711032653823231823131051<103>
factorization results 素因数分解の結果
Number: n
N=25439136748027461184395887709238230385335759898020126995924154067811420129753660393558900444350253208382715274580921018895150781683527983783922861537  ( 149 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jan  7 11:24:25 2022  p47 factor: 10165021667594065056669226052205075662887105187
Fri Jan  7 11:24:25 2022  p103 factor: 2502615103037806933716245854161258061947796149862109711155632708136568546265357711032653823231823131051
Fri Jan  7 11:24:25 2022  elapsed time 00:11:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 2x10^171-137 = 4(169)14
#
n: 25439136748027461184395887709238230385335759898020126995924154067811420129753660393558900444350253208382715274580921018895150781683527983783922861537
m: 10000000000000000000000000000000000
deg: 5
c5: 20
c0: -137
skew: 1.47
# Murphy_E = 1.997e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2911595 hash collisions in 20519812 relations (18279660 unique)
Msieve: matrix is 642388 x 642614 (215.2 MB)

Sieving start time : 2022/01/07 10:15:11
Sieving end time  : 2022/01/07 11:12:37

Total sieving time: 0hrs 57min 26secs.

Total relation processing time: 0hrs 6min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 4, 2022 18:08:40 UTC 2022 年 1 月 5 日 (水) 3 時 8 分 40 秒 (日本時間)

2×10173-1379

c163

name 名前Bob Backstrom
date 日付January 5, 2022 05:24:34 UTC 2022 年 1 月 5 日 (水) 14 時 24 分 34 秒 (日本時間)
composite number 合成数
1313611455929832635317206802905174486524935692144442696331697653884963092318123152529750773385560812922654111155655130432937524894173937156802372301759772583416923<163>
prime factors 素因数
1866350052410312394532130819921336782835338847<46>
703839804453274363444525510407535757840606289800624706790236507729602718188129418313648145627187715926620795619115909<117>
factorization results 素因数分解の結果
Number: n
N=1313611455929832635317206802905174486524935692144442696331697653884963092318123152529750773385560812922654111155655130432937524894173937156802372301759772583416923  ( 163 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed Jan  5 16:19:57 2022  p46 factor: 1866350052410312394532130819921336782835338847
Wed Jan  5 16:19:57 2022  p117 factor: 703839804453274363444525510407535757840606289800624706790236507729602718188129418313648145627187715926620795619115909
Wed Jan  5 16:19:57 2022  elapsed time 00:15:08 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 2x10^173-137 = 4(171)14
#
n: 1313611455929832635317206802905174486524935692144442696331697653884963092318123152529750773385560812922654111155655130432937524894173937156802372301759772583416923
m: 10000000000000000000000000000000000
deg: 5
c5: 2000
c0: -137
skew: 0.58
# Murphy_E = 1.63e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2524742 hash collisions in 18501140 relations (16596868 unique)
Msieve: matrix is 719835 x 720066 (245.9 MB)

Sieving start time : 2022/01/05 14:19:45
Sieving end time  : 2022/01/05 15:54:58

Total sieving time: 1hrs 35min 13secs.

Total relation processing time: 0hrs 7min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 48sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 4, 2022 11:43:51 UTC 2022 年 1 月 4 日 (火) 20 時 43 分 51 秒 (日本時間)

2×10175-1379

c139

name 名前Ignacio Santos
date 日付January 11, 2022 20:19:44 UTC 2022 年 1 月 12 日 (水) 5 時 19 分 44 秒 (日本時間)
composite number 合成数
3055951153721643449417893778947512424441673150006216122309732100090543704327514425378596114925111025020097243288989795809364856794092037961<139>
prime factors 素因数
17589947296205972211097755684424230243806284793339<50>
173732820358182119039162687050457263372362156115215718118605084656377249922850728446146699<90>
factorization results 素因数分解の結果
N=3055951153721643449417893778947512424441673150006216122309732100090543704327514425378596114925111025020097243288989795809364856794092037961
  ( 139 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=17589947296205972211097755684424230243806284793339 (pp50)
 r2=173732820358182119039162687050457263372362156115215718118605084656377249922850728446146699 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 53.21 hours.
Scaled time: 419.27 units (timescale=7.880).
Factorization parameters were as follows:
n: 3055951153721643449417893778947512424441673150006216122309732100090543704327514425378596114925111025020097243288989795809364856794092037961
m: 100000000000000000000000000000000000
deg: 5
c5: 2
c0: -137
skew: 2.33
# Murphy_E = 1.399e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 6800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1231377 x 1231625
Total sieving time: 52.89 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 53.21 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 3, 2022 10:52:32 UTC 2022 年 1 月 3 日 (月) 19 時 52 分 32 秒 (日本時間)

2×10176-1379

c135

name 名前Ignacio Santos
date 日付January 3, 2022 10:51:44 UTC 2022 年 1 月 3 日 (月) 19 時 51 分 44 秒 (日本時間)
composite number 合成数
965999617497635925566844399130146891401612352078451129290509016019961285796196445036214846685906620526832098684778108133531606698423017<135>
prime factors 素因数
86017354090432627923036934643646466447<38>
11230287512471628846927441860800362658209326318316372456680205186677949617062698513373337289314311<98>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3870127447
Step 1 took 5906ms
Step 2 took 3422ms
********** Factor found in step 2: 86017354090432627923036934643646466447
Found prime factor of 38 digits: 86017354090432627923036934643646466447
Prime cofactor 11230287512471628846927441860800362658209326318316372456680205186677949617062698513373337289314311 has 98 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10177-1379

c124

name 名前Ignacio Santos
date 日付January 14, 2022 23:01:00 UTC 2022 年 1 月 15 日 (土) 8 時 1 分 0 秒 (日本時間)
composite number 合成数
7079573633236074252408062750900460264663996800363995371145221533302908436871240723701183338575158369909276997572998070440043<124>
prime factors 素因数
91597044587105894741573127246474703659412522303<47>
77290415483914696142119906577518263436494927515955169225408430345406149594581<77>
factorization results 素因数分解の結果
N=7079573633236074252408062750900460264663996800363995371145221533302908436871240723701183338575158369909276997572998070440043
  ( 124 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=91597044587105894741573127246474703659412522303 (pp47)
 r2=77290415483914696142119906577518263436494927515955169225408430345406149594581 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 77.07 hours.
Scaled time: 603.97 units (timescale=7.837).
Factorization parameters were as follows:
n: 7079573633236074252408062750900460264663996800363995371145221533302908436871240723701183338575158369909276997572998070440043
m: 100000000000000000000000000000000000
deg: 5
c5: 200
c0: -137
skew: 0.93
# Murphy_E = 9.409e-11
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3150000, 8750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1438200 x 1438427
Total sieving time: 76.63 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 77.07 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 2, 2022 22:24:33 UTC 2022 年 1 月 3 日 (月) 7 時 24 分 33 秒 (日本時間)

2×10180-1379

c149

name 名前Ignacio Santos
date 日付January 5, 2022 14:06:18 UTC 2022 年 1 月 5 日 (水) 23 時 6 分 18 秒 (日本時間)
composite number 合成数
12891720795657364132868384670913571836590646619735276492502490559904441774470168186091725435500324665935964483370537005898872376638885834785269800197<149>
prime factors 素因数
31136612506963649530043372775670361<35>
composite cofactor 合成数の残り
414037358520428420907611701587363881183624449185138264121968396153991995284127868464467076231571142229255278158477<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:151305378
Step 1 took 2875ms
Step 2 took 1656ms
********** Factor found in step 2: 31136612506963649530043372775670361
Found prime factor of 35 digits: 31136612506963649530043372775670361
Composite cofactor 414037358520428420907611701587363881183624449185138264121968396153991995284127868464467076231571142229255278158477 has 114 digits
software ソフトウェア
GMP-ECM

c114

name 名前Eric Jeancolas
date 日付January 6, 2022 17:14:16 UTC 2022 年 1 月 7 日 (金) 2 時 14 分 16 秒 (日本時間)
composite number 合成数
414037358520428420907611701587363881183624449185138264121968396153991995284127868464467076231571142229255278158477<114>
prime factors 素因数
1138616355906196246381189028961217108019359<43>
363632013867310429487922219423476634725246372418120765490224650731915603<72>
factorization results 素因数分解の結果
414037358520428420907611701587363881183624449185138264121968396153991995284127868464467076231571142229255278158477=1138616355906196246381189028961217108019359*363632013867310429487922219423476634725246372418120765490224650731915603

cado polynomial
n: 414037358520428420907611701587363881183624449185138264121968396153991995284127868464467076231571142229255278158477
skew: 50092.551
c0: -424955825590953093655421808
c1: 4747030933189028766312
c2: 46540087854114967
c3: 33546027527725
c4: 99694194
c5: 1080
Y0: -13284621219034365633571
Y1: 52493898054195883
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.222e-06
# f(x) = 1080*x^5+99694194*x^4+33546027527725*x^3+46540087854114967*x^2+4747030933189028766312*x-424955825590953093655421808
# g(x) = 52493898054195883*x-13284621219034365633571

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 363632013867310429487922219423476634725246372418120765490224650731915603 1138616355906196246381189028961217108019359
Info:Square Root: Total cpu/real time for sqrt: 121.01/37.1388
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.45/110.308
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 121.01/37.1388
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.11/89.3178
Info:Generate Free Relations: Total cpu/real time for freerel: 63.34/16.7913
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6778512
Info:Lattice Sieving: Average J: 1903.26 for 113965 special-q, max bucket fill -bkmult 1.0,1s:1.248790
Info:Lattice Sieving: Total time: 13250.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/1.1371
Info:Linear Algebra: Total cpu/real time for bwc: 2294.16/591.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1415.86, WCT time 361.87, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 65.02, WCT time 16.58
Info:Linear Algebra: Mksol: CPU time 778.95,  WCT time 199.19, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.95/28.8554
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.099999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 294.83
Info:Polynomial Selection (root optimized): Rootsieve time: 293.8
Info:Filtering - Merging: Merged matrix has 418919 rows and total weight 65076824 (155.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 66.83/20.0288
Info:Filtering - Merging: Total cpu/real time for replay: 14/11.403
Info:Quadratic Characters: Total cpu/real time for characters: 15.36/5.97606
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21650/33.170/40.491/46.220/1.070
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16787/32.170/35.830/40.970/0.812
Info:Polynomial Selection (size optimized): Total time: 1781.81
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 29122.8/8033.31
Info:root: Cleaning up computation data in /tmp/cado.mscyh6hz
363632013867310429487922219423476634725246372418120765490224650731915603 1138616355906196246381189028961217108019359
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 14:57:38 UTC 2022 年 1 月 6 日 (木) 23 時 57 分 38 秒 (日本時間)

2×10181-1379

c148

name 名前Ignacio Santos
date 日付January 5, 2022 19:23:43 UTC 2022 年 1 月 6 日 (木) 4 時 23 分 43 秒 (日本時間)
composite number 合成数
6359741848057269872629974189120438646818418333443885697966719701012378679883170712469389058639609618971834716023447468701362508214668059680644703137<148>
prime factors 素因数
694667648942106999945030083382391867<36>
composite cofactor 合成数の残り
9155085684128764212315427736793356535808932061456082074651823875149894253992634310511915576343594784930701497811<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2069113327
Step 1 took 5953ms
Step 2 took 3359ms
********** Factor found in step 2: 694667648942106999945030083382391867
Found prime factor of 36 digits: 694667648942106999945030083382391867
Composite cofactor 9155085684128764212315427736793356535808932061456082074651823875149894253992634310511915576343594784930701497811 has 112 digits
 
software ソフトウェア
GMP-ECM

c112

name 名前Eric Jeancolas
date 日付January 6, 2022 16:14:17 UTC 2022 年 1 月 7 日 (金) 1 時 14 分 17 秒 (日本時間)
composite number 合成数
9155085684128764212315427736793356535808932061456082074651823875149894253992634310511915576343594784930701497811<112>
prime factors 素因数
2311509578414818179609143820748864352403331371959<49>
3960652280925055999520194377727545621964359741908660050851129029<64>
factorization results 素因数分解の結果
9155085684128764212315427736793356535808932061456082074651823875149894253992634310511915576343594784930701497811=2311509578414818179609143820748864352403331371959*3960652280925055999520194377727545621964359741908660050851129029

cado polynomial
n: 9155085684128764212315427736793356535808932061456082074651823875149894253992634310511915576343594784930701497811
skew: 14150.37
c0: -28635195219206117273105242
c1: -3566554654385795122807
c2: 1879505056877143024
c3: 9030251216701
c4: 2207446704
c5: 73920
Y0: -3449923399053913150593
Y1: 1580475511740221
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.293e-06
# f(x) = 73920*x^5+2207446704*x^4+9030251216701*x^3+1879505056877143024*x^2-3566554654385795122807*x-28635195219206117273105242
# g(x) = 1580475511740221*x-3449923399053913150593

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3960652280925055999520194377727545621964359741908660050851129029 2311509578414818179609143820748864352403331371959
Info:Square Root: Total cpu/real time for sqrt: 90.19/26.9527
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 92.71/101.135
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 73.89999999999999s
Info:Square Root: Total cpu/real time for sqrt: 90.19/26.9527
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.16/80.0727
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5427099
Info:Lattice Sieving: Average J: 1889.91 for 109475 special-q, max bucket fill -bkmult 1.0,1s:1.316760
Info:Lattice Sieving: Total time: 10200.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/0.636415
Info:Linear Algebra: Total cpu/real time for bwc: 1213.22/313.51
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 736.2, WCT time 188.1, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9600 iterations)
Info:Linear Algebra: Lingen CPU time 45.82, WCT time 11.67
Info:Linear Algebra: Mksol: CPU time 405.88,  WCT time 103.64, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4864 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.86/16.3621
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.73/23.1712
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.099999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 259.77
Info:Polynomial Selection (root optimized): Rootsieve time: 258.81
Info:Filtering - Merging: Merged matrix has 305410 rows and total weight 47499163 (155.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.28/14.1305
Info:Filtering - Merging: Total cpu/real time for replay: 10.04/8.09192
Info:Quadratic Characters: Total cpu/real time for characters: 11.21/4.33967
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11959/32.750/39.895/45.510/1.107
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9384/32.380/35.322/40.300/0.902
Info:Polynomial Selection (size optimized): Total time: 702.25
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21067.6/5908.69
Info:root: Cleaning up computation data in /tmp/cado.ywejhxry
3960652280925055999520194377727545621964359741908660050851129029 2311509578414818179609143820748864352403331371959
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 14:58:01 UTC 2022 年 1 月 6 日 (木) 23 時 58 分 1 秒 (日本時間)

2×10182-1379

c164

name 名前Ray Chandler
date 日付January 29, 2022 23:38:40 UTC 2022 年 1 月 30 日 (日) 8 時 38 分 40 秒 (日本時間)
composite number 合成数
94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061<164>
prime factors 素因数
262000893302138514812485023644480309197793707507046092233877623007522413529<75>
361159473679856139563463914056077655551230897652994143627621642141584137776498484129558709<90>
factorization results 素因数分解の結果
01/29/22 12:59:07, 
01/29/22 12:59:07, ****************************
01/29/22 12:59:07, Starting factorization of 44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444414
01/29/22 12:59:07, using pretesting plan: normal
01/29/22 12:59:07, using specified qs/gnfs crossover of 100 digits
01/29/22 12:59:07, using specified qs/snfs crossover of 75 digits
01/29/22 12:59:07, ****************************
01/29/22 12:59:07, div: found prime factor = 2
01/29/22 12:59:07, div: found prime factor = 7
01/29/22 12:59:07, div: found prime factor = 17
01/29/22 12:59:07, rho: x^2 + 3, starting 1000 iterations on C180
01/29/22 12:59:07, prp5 = 29587
01/29/22 12:59:07, rho: x^2 + 3, starting 1000 iterations on C175
01/29/22 12:59:07, prp11 = 66701839279
01/29/22 12:59:07, rho: x^2 + 3, starting 1000 iterations on C164
01/29/22 12:59:08, rho: x^2 + 2, starting 1000 iterations on C164
01/29/22 12:59:08, rho: x^2 + 1, starting 1000 iterations on C164
01/29/22 12:59:08, nfs: input divides 10^184 - 6850
01/29/22 12:59:08, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:08, nfs: input divides 10^184 - 6850
01/29/22 12:59:08, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:08, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:08, pm1: starting B1 = 150K, B2 = gmp-ecm default on C164
01/29/22 12:59:08, nfs: input divides 10^184 - 6850
01/29/22 12:59:08, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:08, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:08, current ECM pretesting depth: 0.00
01/29/22 12:59:08, scheduled 30 curves at B1=2000 toward target pretesting depth of 39.25
01/29/22 12:59:08, ecm: commencing 48 curves using AVX-ECM method on 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061, B1=2k, B2=200k
01/29/22 12:59:08, ecm: finished 384 curves using AVX-ECM method on C164 input, B1=2k, B2=200k
01/29/22 12:59:08, nfs: input divides 10^184 - 6850
01/29/22 12:59:08, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:08, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:08, current ECM pretesting depth: 17.27
01/29/22 12:59:08, scheduled 74 curves at B1=11000 toward target pretesting depth of 39.25
01/29/22 12:59:09, ecm: commencing 96 curves using AVX-ECM method on 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061, B1=11k, B2=1100k
01/29/22 12:59:09, ecm: finished 384 curves using AVX-ECM method on C164 input, B1=11k, B2=1100k
01/29/22 12:59:09, nfs: input divides 10^184 - 6850
01/29/22 12:59:09, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:09, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:09, current ECM pretesting depth: 21.28
01/29/22 12:59:09, scheduled 214 curves at B1=50000 toward target pretesting depth of 39.25
01/29/22 12:59:10, ecm: commencing 240 curves using AVX-ECM method on 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061, B1=50k, B2=5M
01/29/22 12:59:11, ecm: finished 384 curves using AVX-ECM method on C164 input, B1=50k, B2=5M
01/29/22 12:59:11, nfs: input divides 10^184 - 6850
01/29/22 12:59:11, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:11, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:11, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C164
01/29/22 12:59:12, nfs: input divides 10^184 - 6850
01/29/22 12:59:12, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:12, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:12, current ECM pretesting depth: 25.62
01/29/22 12:59:12, scheduled 430 curves at B1=250000 toward target pretesting depth of 39.25
01/29/22 12:59:13, ecm: commencing 432 curves using AVX-ECM method on 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061, B1=250k, B2=25M
01/29/22 12:59:20, ecm: finished 768 curves using AVX-ECM method on C164 input, B1=250k, B2=25M
01/29/22 12:59:21, nfs: input divides 10^184 - 6850
01/29/22 12:59:21, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:21, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:21, pm1: starting B1 = 15M, B2 = gmp-ecm default on C164
01/29/22 12:59:25, nfs: input divides 10^184 - 6850
01/29/22 12:59:25, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:25, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 12:59:25, current ECM pretesting depth: 30.81
01/29/22 12:59:25, scheduled 904 curves at B1=1000000 toward target pretesting depth of 39.25
01/29/22 12:59:27, ecm: commencing 912 curves using AVX-ECM method on 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061, B1=1M, B2=100M
01/29/22 13:00:08, ecm: finished 1152 curves using AVX-ECM method on C164 input, B1=1M, B2=100M
01/29/22 13:00:10, nfs: input divides 10^184 - 6850
01/29/22 13:00:10, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 13:00:10, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 13:00:10, current ECM pretesting depth: 35.72
01/29/22 13:00:10, scheduled 1658 curves at B1=3000000 toward target pretesting depth of 39.25
01/29/22 13:00:12, ecm: commencing 1680 curves using AVX-ECM method on 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061, B1=3M, B2=300M
01/29/22 13:03:26, ecm: finished 1920 curves using AVX-ECM method on C164 input, B1=3M, B2=300M
01/29/22 13:03:27, nfs: input divides 10^184 - 6850
01/29/22 13:03:27, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 13:03:27, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 13:03:27, final ECM pretested depth: 39.81
01/29/22 13:03:27, scheduler: switching to sieve method
01/29/22 13:03:27, nfs: commencing nfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 13:03:27, nfs: input divides 10^184 - 6850
01/29/22 13:03:27, nfs: using supplied cofactor: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 13:03:27, nfs: commencing snfs on c164: 94624104728652491665250684909655172974114229324491626617089075489764672687378358920110647519287429120099717418946464515402809925672047865841375075132891221381374061
01/29/22 13:03:29, test: fb generation took 1.2890 seconds
01/29/22 13:03:29, test: commencing test sieving of polynomial 0 on the rational side over range 11000000-11001000
skew: 1.2609
c5: 200
c0: -137
Y1: -1
Y0: 1000000000000000000000000000000000000
rlim: 11000000
alim: 11000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/29/22 13:04:42, nfs: parsing special-q from .dat file
01/29/22 13:04:42, test: new best estimated total sieving time = 1h 46m 49s (with 48 threads)
01/29/22 13:04:43, test: fb generation took 1.2696 seconds
01/29/22 13:04:43, test: commencing test sieving of polynomial 1 on the rational side over range 11000000-11001000
skew: 2.4847
c5: 25
c0: -548
Y1: -1
Y0: 2000000000000000000000000000000000000
rlim: 11000000
alim: 11000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/29/22 13:05:56, nfs: parsing special-q from .dat file
01/29/22 13:05:56, test: estimated total sieving time = 1h 47m 28s (with 48 threads)
01/29/22 13:05:58, test: fb generation took 1.8995 seconds
01/29/22 13:05:58, test: commencing test sieving of polynomial 2 on the algebraic side over range 10500000-10501000
skew: 1.1267
c6: 200
c0: -137
Y1: -1
Y0: 1000000000000000000000000000000
rlim: 10500000
alim: 10500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/29/22 13:06:59, nfs: parsing special-q from .dat file
01/29/22 13:06:59, test: new best estimated total sieving time = 1h 36m 26s (with 48 threads)
01/29/22 13:06:59, nfs: commencing lattice sieving with 48 threads
01/29/22 13:10:01, nfs: commencing lattice sieving with 48 threads
01/29/22 13:13:18, nfs: commencing lattice sieving with 48 threads
01/29/22 13:16:21, nfs: commencing lattice sieving with 48 threads
01/29/22 13:19:21, nfs: commencing lattice sieving with 48 threads
01/29/22 13:22:20, nfs: commencing lattice sieving with 48 threads
01/29/22 13:25:27, nfs: commencing lattice sieving with 48 threads
01/29/22 13:28:38, nfs: commencing lattice sieving with 48 threads
01/29/22 13:31:48, nfs: commencing lattice sieving with 48 threads
01/29/22 13:34:37, nfs: commencing lattice sieving with 48 threads
01/29/22 13:37:43, nfs: commencing lattice sieving with 48 threads
01/29/22 13:40:58, nfs: commencing lattice sieving with 48 threads
01/29/22 13:43:59, nfs: commencing lattice sieving with 48 threads
01/29/22 13:47:01, nfs: commencing lattice sieving with 48 threads
01/29/22 13:50:12, nfs: commencing lattice sieving with 48 threads
01/29/22 13:53:26, nfs: commencing lattice sieving with 48 threads
01/29/22 13:56:23, nfs: commencing lattice sieving with 48 threads
01/29/22 14:00:04, nfs: commencing lattice sieving with 48 threads
01/29/22 14:02:57, nfs: commencing lattice sieving with 48 threads
01/29/22 14:06:18, nfs: commencing lattice sieving with 48 threads
01/29/22 14:09:15, nfs: commencing lattice sieving with 48 threads
01/29/22 14:12:47, nfs: commencing lattice sieving with 48 threads
01/29/22 14:15:59, nfs: commencing lattice sieving with 48 threads
01/29/22 14:19:15, nfs: commencing lattice sieving with 48 threads
01/29/22 14:22:32, nfs: commencing lattice sieving with 48 threads
01/29/22 14:25:50, nfs: commencing lattice sieving with 48 threads
01/29/22 14:28:46, nfs: commencing lattice sieving with 48 threads
01/29/22 14:31:47, nfs: commencing lattice sieving with 48 threads
01/29/22 14:35:23, nfs: commencing lattice sieving with 48 threads
01/29/22 14:38:40, nfs: commencing lattice sieving with 48 threads
01/29/22 14:41:31, nfs: commencing lattice sieving with 48 threads
01/29/22 14:44:45, nfs: commencing lattice sieving with 48 threads
01/29/22 14:47:59, nfs: commencing lattice sieving with 48 threads
01/29/22 14:51:13, nfs: commencing lattice sieving with 48 threads
01/29/22 14:54:16, nfs: commencing msieve filtering
01/29/22 14:56:13, nfs: raising min_rels by 5.00 percent to 10593232
01/29/22 14:56:13, nfs: commencing lattice sieving with 48 threads
01/29/22 14:59:17, nfs: commencing lattice sieving with 48 threads
01/29/22 15:02:40, nfs: commencing msieve filtering
01/29/22 15:04:47, nfs: raising min_rels by 5.00 percent to 11186958
01/29/22 15:04:47, nfs: commencing lattice sieving with 48 threads
01/29/22 15:07:52, nfs: commencing lattice sieving with 48 threads
01/29/22 15:11:15, nfs: commencing msieve filtering
01/29/22 15:13:27, nfs: raising min_rels by 5.00 percent to 11778724
01/29/22 15:13:27, nfs: commencing lattice sieving with 48 threads
01/29/22 15:16:26, nfs: commencing lattice sieving with 48 threads
01/29/22 15:19:38, nfs: commencing lattice sieving with 48 threads
01/29/22 15:22:50, nfs: commencing msieve filtering
01/29/22 15:26:37, nfs: raising min_rels by 5.00 percent to 12659107
01/29/22 15:26:37, nfs: commencing lattice sieving with 48 threads
01/29/22 15:29:40, nfs: commencing lattice sieving with 48 threads
01/29/22 15:33:19, nfs: commencing lattice sieving with 48 threads
01/29/22 15:36:24, nfs: commencing msieve filtering
01/29/22 15:39:56, nfs: commencing msieve linear algebra
01/29/22 15:53:34, nfs: commencing msieve sqrt
01/29/22 15:58:20, prp75 = 262000893302138514812485023644480309197793707507046092233877623007522413529
01/29/22 15:58:20, prp90 = 361159473679856139563463914056077655551230897652994143627621642141584137776498484129558709
01/29/22 15:58:20, NFS elapsed time = 10492.9715 seconds.
01/29/22 15:58:20, 
01/29/22 15:58:20, 
01/29/22 15:58:20, Total factoring time = 10753.0758 seconds
software ソフトウェア
YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991

===============================================================
======= Welcome to YAFU (Yet Another Factoring Utility) =======
=======             bbuhrow@gmail.com                   =======
=======     Type help at any time, or quit to quit      =======
===============================================================

>> factor(2*(2*10^182-137)/9)
fac: factoring 44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444414
execution environment 実行環境
Ubuntu 20.04.3 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 20:06:26 UTC 2022 年 1 月 6 日 (木) 5 時 6 分 26 秒 (日本時間)

2×10184-1379

c184

name 名前Bob Backstrom
date 日付January 9, 2022 09:01:30 UTC 2022 年 1 月 9 日 (日) 18 時 1 分 30 秒 (日本時間)
composite number 合成数
2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222207<184>
prime factors 素因数
6625399144615254331730813105078825956985007772291515809402983317314938452599675217815573<88>
335409561554992110309540096220098243087426343800128310313807807082781362521277890626855776865859<96>
factorization results 素因数分解の結果
Number: n
N=2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222207  ( 184 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sun Jan  9 19:55:04 2022  p88 factor: 6625399144615254331730813105078825956985007772291515809402983317314938452599675217815573
Sun Jan  9 19:55:04 2022  p96 factor: 335409561554992110309540096220098243087426343800128310313807807082781362521277890626855776865859
Sun Jan  9 19:55:04 2022  elapsed time 00:27:01 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 2x10^184-137 = 4(182)14
#
n: 2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222207
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: -685
skew: 3.69
# Murphy_E = 5.939e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3407412 hash collisions in 30313577 relations (28729227 unique)
Msieve: matrix is 980294 x 980520 (338.6 MB)

Sieving start time : 2022/01/09 16:45:19
Sieving end time  : 2022/01/09 19:27:30

Total sieving time: 2hrs 42min 11secs.

Total relation processing time: 0hrs 15min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 49sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 23:01:52 UTC 2022 年 1 月 6 日 (木) 8 時 1 分 52 秒 (日本時間)

2×10185-1379

c172

name 名前Bob Backstrom
date 日付January 14, 2022 16:09:54 UTC 2022 年 1 月 15 日 (土) 1 時 9 分 54 秒 (日本時間)
composite number 合成数
2886399588394105225908705259296042821585844891285802697874583335186796205386115805530054224728036276041677284685560017626146087755280548305304274892334904704347185958077619<172>
prime factors 素因数
40477391376760243140700859895775014625256570072568203055954893<62>
71308932967733377452156899746834533783793369650302245614580785933351126485692766493718401633016854970385875583<110>
factorization results 素因数分解の結果
Number: n
N=2886399588394105225908705259296042821585844891285802697874583335186796205386115805530054224728036276041677284685560017626146087755280548305304274892334904704347185958077619  ( 172 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sat Jan 15 03:04:27 2022  p62 factor: 40477391376760243140700859895775014625256570072568203055954893
Sat Jan 15 03:04:27 2022  p110 factor: 71308932967733377452156899746834533783793369650302245614580785933351126485692766493718401633016854970385875583
Sat Jan 15 03:04:27 2022  elapsed time 00:26:53 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
#
# N = 2x10^185-137 = 4(183)14
#
n: 2886399588394105225908705259296042821585844891285802697874583335186796205386115805530054224728036276041677284685560017626146087755280548305304274892334904704347185958077619
m: 10000000000000000000000000000000000000
deg: 5
c5: 2
c0: -137
skew: 2.33
# Murphy_E = 5.517e-11
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3682021 hash collisions in 30814214 relations (28933985 unique)
Msieve: matrix is 1041072 x 1041299 (358.2 MB)

Sieving start time : 2022/01/14 23:26:48
Sieving end time  : 2022/01/15 02:36:15

Total sieving time: 3hrs 9min 27secs.

Total relation processing time: 0hrs 17min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 10:39:53 UTC 2022 年 1 月 6 日 (木) 19 時 39 分 53 秒 (日本時間)

2×10186-1379

c181

name 名前Bob Backstrom
date 日付January 10, 2022 04:17:01 UTC 2022 年 1 月 10 日 (月) 13 時 17 分 1 秒 (日本時間)
composite number 合成数
1781440419279817081697748348382051275199588130975062506290711480581854069745173855224118565548545587505689475339074915804672183787645176260168684593301605879465959791108296435248649<181>
prime factors 素因数
4674562831835038086260968311158820187619066979895411<52>
4103376167441434553980388034065821966860909864184033271161177<61>
92872891810253710413352494034196547365811469729477783908370638545867<68>
factorization results 素因数分解の結果
Number: n
N=1781440419279817081697748348382051275199588130975062506290711480581854069745173855224118565548545587505689475339074915804672183787645176260168684593301605879465959791108296435248649  ( 181 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon Jan 10 15:10:03 2022  found factor: 92872891810253710413352494034196547365811469729477783908370638545867
Mon Jan 10 15:11:07 2022  p52 factor: 4674562831835038086260968311158820187619066979895411
Mon Jan 10 15:11:07 2022  p61 factor: 4103376167441434553980388034065821966860909864184033271161177
Mon Jan 10 15:11:07 2022  p68 factor: 92872891810253710413352494034196547365811469729477783908370638545867
Mon Jan 10 15:11:07 2022  elapsed time 00:28:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 2x10^186-137 = 4(184)14
#
n: 1781440419279817081697748348382051275199588130975062506290711480581854069745173855224118565548545587505689475339074915804672183787645176260168684593301605879465959791108296435248649
m: 10000000000000000000000000000000000000
deg: 5
c5: 20
c0: -137
skew: 1.47
# Murphy_E = 4.97e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3673035 hash collisions in 30843177 relations (28974379 unique)
Msieve: matrix is 1058626 x 1058853 (363.4 MB)

Sieving start time : 2022/01/10 11:13:42
Sieving end time  : 2022/01/10 14:41:39

Total sieving time: 3hrs 27min 57secs.

Total relation processing time: 0hrs 17min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 9sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 11:47:20 UTC 2022 年 1 月 6 日 (木) 20 時 47 分 20 秒 (日本時間)

2×10187-1379

c184

name 名前Bob Backstrom
date 日付January 7, 2022 21:11:12 UTC 2022 年 1 月 8 日 (土) 6 時 11 分 12 秒 (日本時間)
composite number 合成数
3225286244154168682470569263022093210772456055474923399451701338493791323980003225286244154168682470569263022093210772456055474923399451701338493791323980003225286244154168682470569263<184>
prime factors 素因数
9779423700702836475520907895596656485389649091645828464385353644179652312726311085551<85>
329803303636631562545699631550941880467907754305719406017426172685005492546180522451529135406802113<99>
factorization results 素因数分解の結果
Number: n
N=3225286244154168682470569263022093210772456055474923399451701338493791323980003225286244154168682470569263022093210772456055474923399451701338493791323980003225286244154168682470569263  ( 184 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Jan  8 08:04:58 2022  p85 factor: 9779423700702836475520907895596656485389649091645828464385353644179652312726311085551
Sat Jan  8 08:04:58 2022  p99 factor: 329803303636631562545699631550941880467907754305719406017426172685005492546180522451529135406802113
Sat Jan  8 08:04:58 2022  elapsed time 00:34:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 2x10^187-137 = 4(185)14
#
n: 3225286244154168682470569263022093210772456055474923399451701338493791323980003225286244154168682470569263022093210772456055474923399451701338493791323980003225286244154168682470569263
m: 10000000000000000000000000000000000000
deg: 5
c5: 200
c0: -137
skew: 0.93
# Murphy_E = 3.703e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3801692 hash collisions in 29730453 relations (27564594 unique)
Msieve: matrix is 1195911 x 1196138 (414.0 MB)

Sieving start time : 2022/01/08 02:18:25
Sieving end time  : 2022/01/08 07:29:19

Total sieving time: 5hrs 10min 54secs.

Total relation processing time: 0hrs 25min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10188-1379

c180

name 名前Bob Backstrom
date 日付January 10, 2022 11:38:12 UTC 2022 年 1 月 10 日 (月) 20 時 38 分 12 秒 (日本時間)
composite number 合成数
577598490051268883813704236355404587483013875304855400051890870747715945252939374889933192734886483543512904285261823937104052805578820500736708102109466795065655808083637000685491<180>
prime factors 素因数
16571126954386284539545486167471119473464862159<47>
34855715706069211961313232995937906803414792730094277441465959684575894852191965192130139965530899245250139029777076776555265418288349<134>
factorization results 素因数分解の結果
Number: n
N=577598490051268883813704236355404587483013875304855400051890870747715945252939374889933192734886483543512904285261823937104052805578820500736708102109466795065655808083637000685491  ( 180 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Jan 10 22:33:46 2022  p47 factor: 16571126954386284539545486167471119473464862159
Mon Jan 10 22:33:46 2022  p134 factor: 34855715706069211961313232995937906803414792730094277441465959684575894852191965192130139965530899245250139029777076776555265418288349
Mon Jan 10 22:33:46 2022  elapsed time 00:29:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
#
# N = 2x10^188-137 = 4(186)14
#
n: 577598490051268883813704236355404587483013875304855400051890870747715945252939374889933192734886483543512904285261823937104052805578820500736708102109466795065655808083637000685491
m: 10000000000000000000000000000000000000
deg: 5
c5: 2000
c0: -137
skew: 0.58
# Murphy_E = 4.045e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3180293 hash collisions in 30801159 relations (28848064 unique)
Msieve: matrix is 1093548 x 1093773 (381.3 MB)

Sieving start time : 2022/01/10 18:03:19
Sieving end time  : 2022/01/10 22:03:02

Total sieving time: 3hrs 59min 43secs.
Total relation processing time: 0hrs 20min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 28sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 15:59:04 UTC 2022 年 1 月 7 日 (金) 0 時 59 分 4 秒 (日本時間)

2×10189-1379

c176

name 名前Bob Backstrom
date 日付January 11, 2022 09:52:17 UTC 2022 年 1 月 11 日 (火) 18 時 52 分 17 秒 (日本時間)
composite number 合成数
53768139820095226425021755907499174523489293182839458554200998430406430070734712659898201500461392689931328221456242645849655311290784969582603842642467569966460055268625692403<176>
prime factors 素因数
34333561358216835951904379271154532121425953<44>
41710299282847707938771171806648850424325554352969486737065761<62>
37545928723772072076841027145213548175296466894960078049224371847901491<71>
factorization results 素因数分解の結果
Number: n
N=53768139820095226425021755907499174523489293182839458554200998430406430070734712659898201500461392689931328221456242645849655311290784969582603842642467569966460055268625692403  ( 176 digits)
SNFS difficulty: 190 digits.
Divisors found:

Tue Jan 11 19:34:29 2022  found factor: 37545928723772072076841027145213548175296466894960078049224371847901491
Tue Jan 11 19:37:47 2022  p44 factor: 34333561358216835951904379271154532121425953
Tue Jan 11 19:37:47 2022  p62 factor: 41710299282847707938771171806648850424325554352969486737065761
Tue Jan 11 19:37:47 2022  p71 factor: 37545928723772072076841027145213548175296466894960078049224371847901491
Tue Jan 11 19:37:47 2022  elapsed time 00:34:38 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 2x10^189-137 = 4(187)14
#
n: 53768139820095226425021755907499174523489293182839458554200998430406430070734712659898201500461392689931328221456242645849655311290784969582603842642467569966460055268625692403
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: -685
skew: 3.69
# Murphy_E = 3.706e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3753338 hash collisions in 30661394 relations (28668157 unique)
Msieve: matrix is 1154037 x 1154263 (398.6 MB)

Sieving start time : 2022/01/11 14:18:35
Sieving end time  : 2022/01/11 19:02:12

Total sieving time: 4hrs 43min 37secs.

Total relation processing time: 0hrs 22min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 24sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 17:38:01 UTC 2022 年 1 月 7 日 (金) 2 時 38 分 1 秒 (日本時間)

2×10191-1379

c161

name 名前Bob Backstrom
date 日付February 4, 2022 08:10:32 UTC 2022 年 2 月 4 日 (金) 17 時 10 分 32 秒 (日本時間)
composite number 合成数
18360486638556300618837244435514294326731302908648032247685963579418687743302576160784406786452671424103641640068875739079765097389835168284963446240097252908101<161>
prime factors 素因数
838894957784801305970388602146845797404444799982253772189313413123<66>
21886514477377810096731004551727528485013701552502254414901760775369945827800583683268708516887<95>
factorization results 素因数分解の結果
Number: n
N=18360486638556300618837244435514294326731302908648032247685963579418687743302576160784406786452671424103641640068875739079765097389835168284963446240097252908101  ( 161 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Feb  4 19:03:44 2022  p66 factor: 838894957784801305970388602146845797404444799982253772189313413123
Fri Feb  4 19:03:44 2022  p95 factor: 21886514477377810096731004551727528485013701552502254414901760775369945827800583683268708516887
Fri Feb  4 19:03:44 2022  elapsed time 00:59:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 2x10^191-137 = 4(189)14
#
n: 18360486638556300618837244435514294326731302908648032247685963579418687743302576160784406786452671424103641640068875739079765097389835168284963446240097252908101
m: 100000000000000000000000000000000000000
deg: 5
c5: 20
c0: -137
skew: 1.47
# Murphy_E = 3.099e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 39800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6039936 hash collisions in 45956593 relations (41571471 unique)
Msieve: matrix is 1945279 x 1945513 (302.9 MB)

Sieving start time : 2022/02/04 03:21:37
Sieving end time  : 2022/02/04 18:00:53

Total sieving time: 14hrs 39min 16secs.

Total relation processing time: 0hrs 43min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 24sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 8, 2022 12:04:33 UTC 2022 年 1 月 8 日 (土) 21 時 4 分 33 秒 (日本時間)

2×10192-1379

c149

name 名前Ray Chandler
date 日付February 9, 2022 22:14:34 UTC 2022 年 2 月 10 日 (木) 7 時 14 分 34 秒 (日本時間)
composite number 合成数
49883312222122933035616524477291618365460956475785725688623327611821257986933450784104115735702244059535756850378860534114743568453231012603582182589<149>
prime factors 素因数
26683206729869157096822691854684084482658605772545009560231308479376913<71>
1869464668438205336357725811192452796706088030935172533291444352929492570857453<79>
factorization results 素因数分解の結果
02/09/22 08:43:00, nfs: commencing nfs on c192: 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444414
02/09/22 08:43:00, nfs: input divides 10^194 - 6850
02/09/22 08:43:00, nfs: using supplied cofactor: 49883312222122933035616524477291618365460956475785725688623327611821257986933450784104115735702244059535756850378860534114743568453231012603582182589
02/09/22 08:43:00, nfs: commencing snfs on c149: 49883312222122933035616524477291618365460956475785725688623327611821257986933450784104115735702244059535756850378860534114743568453231012603582182589
02/09/22 08:43:01, test: fb generation took 1.6379 seconds
02/09/22 08:43:01, test: commencing test sieving of polynomial 0 on the rational side over range 14000000-14001000
skew: 1.2145
c5: 200
c0: -137
Y1: -1
Y0: 100000000000000000000000000000000000000
rlim: 14000000
alim: 14000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/09/22 08:44:17, nfs: parsing special-q from .dat file
02/09/22 08:44:17, test: new best estimated total sieving time = 4h 4m 6s (with 40 threads)
02/09/22 08:44:19, test: fb generation took 1.6148 seconds
02/09/22 08:44:19, test: commencing test sieving of polynomial 1 on the rational side over range 14000000-14001000
skew: 2.4476
c5: 25
c0: -548
Y1: -1
Y0: 200000000000000000000000000000000000000
rlim: 14000000
alim: 14000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/09/22 08:45:35, nfs: parsing special-q from .dat file
02/09/22 08:45:35, test: estimated total sieving time = 4h 7m 18s (with 40 threads)
02/09/22 08:45:37, test: fb generation took 2.3990 seconds
02/09/22 08:45:37, test: commencing test sieving of polynomial 2 on the algebraic side over range 13000000-13001000
skew: 2.3464
c6: 2
c0: -137
Y1: -1
Y0: 100000000000000000000000000000000
rlim: 13000000
alim: 13000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/09/22 08:46:36, nfs: parsing special-q from .dat file
02/09/22 08:46:36, test: new best estimated total sieving time = 3h 38m 35s (with 40 threads)
02/09/22 08:46:39, test: fb generation took 2.4019 seconds
02/09/22 08:46:39, test: commencing test sieving of polynomial 0 on the rational side over range 13000000-13001000
skew: 2.3464
c6: 2
c0: -137
Y1: -1
Y0: 100000000000000000000000000000000
rlim: 13000000
alim: 13000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/09/22 08:47:54, nfs: parsing special-q from .dat file
02/09/22 08:47:54, test: new best estimated total sieving time = 4h 20m 2s (with 40 threads)
02/09/22 08:47:54, nfs: commencing lattice sieving with 40 threads
02/09/22 08:51:58, nfs: commencing lattice sieving with 40 threads
02/09/22 08:56:12, nfs: commencing lattice sieving with 40 threads
02/09/22 09:00:25, nfs: commencing lattice sieving with 40 threads
02/09/22 09:04:33, nfs: commencing lattice sieving with 40 threads
02/09/22 09:08:56, nfs: commencing lattice sieving with 40 threads
02/09/22 09:13:08, nfs: commencing lattice sieving with 40 threads
02/09/22 09:17:17, nfs: commencing lattice sieving with 40 threads
02/09/22 09:22:00, nfs: commencing lattice sieving with 40 threads
02/09/22 09:26:17, nfs: commencing lattice sieving with 40 threads
02/09/22 09:31:01, nfs: commencing lattice sieving with 40 threads
02/09/22 09:35:07, nfs: commencing lattice sieving with 40 threads
02/09/22 09:39:18, nfs: commencing lattice sieving with 40 threads
02/09/22 09:43:23, nfs: commencing lattice sieving with 40 threads
02/09/22 09:47:45, nfs: commencing lattice sieving with 40 threads
02/09/22 09:51:41, nfs: commencing lattice sieving with 40 threads
02/09/22 09:56:05, nfs: commencing lattice sieving with 40 threads
02/09/22 10:00:30, nfs: commencing lattice sieving with 40 threads
02/09/22 10:04:35, nfs: commencing lattice sieving with 40 threads
02/09/22 10:09:09, nfs: commencing lattice sieving with 40 threads
02/09/22 10:13:35, nfs: commencing lattice sieving with 40 threads
02/09/22 10:17:50, nfs: commencing lattice sieving with 40 threads
02/09/22 10:22:12, nfs: commencing lattice sieving with 40 threads
02/09/22 10:26:28, nfs: commencing lattice sieving with 40 threads
02/09/22 10:30:34, nfs: commencing lattice sieving with 40 threads
02/09/22 10:34:50, nfs: commencing lattice sieving with 40 threads
02/09/22 10:39:26, nfs: commencing lattice sieving with 40 threads
02/09/22 10:43:47, nfs: commencing lattice sieving with 40 threads
02/09/22 10:47:50, nfs: commencing lattice sieving with 40 threads
02/09/22 10:52:01, nfs: commencing lattice sieving with 40 threads
02/09/22 10:56:04, nfs: commencing lattice sieving with 40 threads
02/09/22 11:00:37, nfs: commencing lattice sieving with 40 threads
02/09/22 11:04:57, nfs: commencing lattice sieving with 40 threads
02/09/22 11:09:47, nfs: commencing lattice sieving with 40 threads
02/09/22 11:14:33, nfs: commencing lattice sieving with 40 threads
02/09/22 11:18:39, nfs: commencing lattice sieving with 40 threads
02/09/22 11:22:51, nfs: commencing lattice sieving with 40 threads
02/09/22 11:27:06, nfs: commencing lattice sieving with 40 threads
02/09/22 11:31:44, nfs: commencing lattice sieving with 40 threads
02/09/22 11:36:13, nfs: commencing lattice sieving with 40 threads
02/09/22 11:40:34, nfs: commencing lattice sieving with 40 threads
02/09/22 11:44:38, nfs: commencing lattice sieving with 40 threads
02/09/22 11:48:56, nfs: commencing lattice sieving with 40 threads
02/09/22 11:53:17, nfs: commencing lattice sieving with 40 threads
02/09/22 11:57:38, nfs: commencing lattice sieving with 40 threads
02/09/22 12:01:46, nfs: commencing lattice sieving with 40 threads
02/09/22 12:06:36, nfs: commencing lattice sieving with 40 threads
02/09/22 12:11:02, nfs: commencing lattice sieving with 40 threads
02/09/22 12:15:22, nfs: commencing lattice sieving with 40 threads
02/09/22 12:19:43, nfs: commencing lattice sieving with 40 threads
02/09/22 12:23:53, nfs: commencing lattice sieving with 40 threads
02/09/22 12:28:36, nfs: commencing lattice sieving with 40 threads
02/09/22 12:33:07, nfs: commencing lattice sieving with 40 threads
02/09/22 12:37:20, nfs: commencing lattice sieving with 40 threads
02/09/22 12:41:31, nfs: commencing lattice sieving with 40 threads
02/09/22 12:45:53, nfs: commencing lattice sieving with 40 threads
02/09/22 12:50:11, nfs: commencing lattice sieving with 40 threads
02/09/22 12:55:00, nfs: commencing lattice sieving with 40 threads
02/09/22 12:59:43, nfs: commencing lattice sieving with 40 threads
02/09/22 13:04:01, nfs: commencing lattice sieving with 40 threads
02/09/22 13:08:21, nfs: commencing lattice sieving with 40 threads
02/09/22 13:12:40, nfs: commencing lattice sieving with 40 threads
02/09/22 13:17:16, nfs: commencing lattice sieving with 40 threads
02/09/22 13:21:32, nfs: commencing lattice sieving with 40 threads
02/09/22 13:26:11, nfs: commencing lattice sieving with 40 threads
02/09/22 13:30:22, nfs: commencing msieve filtering
02/09/22 13:34:37, nfs: raising min_rels by 5.00 percent to 22334422
02/09/22 13:34:37, nfs: commencing lattice sieving with 40 threads
02/09/22 13:38:58, nfs: commencing lattice sieving with 40 threads
02/09/22 13:43:19, nfs: commencing lattice sieving with 40 threads
02/09/22 13:48:12, nfs: commencing lattice sieving with 40 threads
02/09/22 13:52:48, nfs: commencing msieve filtering
02/09/22 13:59:19, nfs: commencing msieve linear algebra
02/09/22 14:32:38, nfs: commencing msieve sqrt
02/09/22 16:04:14, prp71 = 26683206729869157096822691854684084482658605772545009560231308479376913
02/09/22 16:04:14, C43 = 8909681908558913780644092124688697840403926
02/09/22 16:04:14, prp79 = 1869464668438205336357725811192452796706088030935172533291444352929492570857453
software ソフトウェア
YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 5218R CPU @ 2.10GHz
Detected L1 = 32768 bytes, L2 = 28835840 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991
execution environment 実行環境
Ubuntu 20.04.3 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 8, 2022 12:05:41 UTC 2022 年 1 月 8 日 (土) 21 時 5 分 41 秒 (日本時間)
4511e64480Ray ChandlerFebruary 2, 2022 22:29:33 UTC 2022 年 2 月 3 日 (木) 7 時 29 分 33 秒 (日本時間)

2×10193-1379

c192

name 名前Bob Backstrom
date 日付January 8, 2022 03:14:00 UTC 2022 年 1 月 8 日 (土) 12 時 14 分 0 秒 (日本時間)
composite number 合成数
170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170939<192>
prime factors 素因数
3635773401453099554152571103588944832094624064492001878040169<61>
47016178420759597468251642219959286932468743052854039962397993433919241633825479302253400775409186265830445620843316666032569875331<131>
factorization results 素因数分解の結果
Number: n
N=170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170939  ( 192 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sat Jan  8 14:08:17 2022  p61 factor: 3635773401453099554152571103588944832094624064492001878040169
Sat Jan  8 14:08:17 2022  p131 factor: 47016178420759597468251642219959286932468743052854039962397993433919241633825479302253400775409186265830445620843316666032569875331
Sat Jan  8 14:08:17 2022  elapsed time 00:51:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 2x10^193-137 = 4(191)14
#
n: 170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170939
m: 100000000000000000000000000000000000000
deg: 5
c5: 2000
c0: -137
skew: 0.58
# Murphy_E = 2.52e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3243121 hash collisions in 27739236 relations (26077260 unique)
Msieve: matrix is 1467448 x 1467673 (516.6 MB)

Sieving start time : 2022/01/08 08:20:12
Sieving end time  : 2022/01/08 13:15:57

Total sieving time: 4hrs 55min 45secs.

Total relation processing time: 0hrs 41min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10195-1379

c185

name 名前Bob Backstrom
date 日付January 12, 2022 23:38:11 UTC 2022 年 1 月 13 日 (木) 8 時 38 分 11 秒 (日本時間)
composite number 合成数
36108976877845966328998222035160822993801284725769460912176703849170468341484754589439997586117784434147378583775176807261795730223620185089599577860321819262125009211474476303316567833<185>
prime factors 素因数
22629991902528172453508588604945363693751560516132814089781<59>
1595624825381044506663540320626025077952855509201594311212966969406542064035195494566589198378917408330034198483272202202702293<127>
factorization results 素因数分解の結果
Number: n
N=36108976877845966328998222035160822993801284725769460912176703849170468341484754589439997586117784434147378583775176807261795730223620185089599577860321819262125009211474476303316567833  ( 185 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Jan 13 10:20:16 2022  p59 factor: 22629991902528172453508588604945363693751560516132814089781
Thu Jan 13 10:20:16 2022  p127 factor: 1595624825381044506663540320626025077952855509201594311212966969406542064035195494566589198378917408330034198483272202202702293
Thu Jan 13 10:20:16 2022  elapsed time 01:05:54 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 2x10^195-137 = 4(193)14
#
n: 36108976877845966328998222035160822993801284725769460912176703849170468341484754589439997586117784434147378583775176807261795730223620185089599577860321819262125009211474476303316567833
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -137
skew: 2.33
# Murphy_E = 2.138e-11
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 40700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3805879 hash collisions in 30679655 relations (28616305 unique)
Msieve: matrix is 1647089 x 1647314 (570.8 MB)

Sieving start time : 2022/01/12 20:00:45
Sieving end time  : 2022/01/13 09:12:42

Total sieving time: 13hrs 11min 57secs.

Total relation processing time: 0hrs 52min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 2sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 10, 2022 21:43:47 UTC 2022 年 1 月 11 日 (火) 6 時 43 分 47 秒 (日本時間)

2×10197-1379

c152

name 名前Eric Jeancolas
date 日付February 11, 2022 21:46:59 UTC 2022 年 2 月 12 日 (土) 6 時 46 分 59 秒 (日本時間)
composite number 合成数
28624971187540143735222002389184371779019863986377203935734826025972790384169701202288986523395405071202868780828026513588916045091863079624752006299397<152>
prime factors 素因数
70447017324599771413182325280482980669295273274090839<53>
406333330702199036642405674609910262037608383142928136056601989464934249194118464245836961679345923<99>
factorization results 素因数分解の結果
28624971187540143735222002389184371779019863986377203935734826025972790384169701202288986523395405071202868780828026513588916045091863079624752006299397=70447017324599771413182325280482980669295273274090839*406333330702199036642405674609910262037608383142928136056601989464934249194118464245836961679345923

cado polynomial
n: 28624971187540143735222002389184371779019863986377203935734826025972790384169701202288986523395405071202868780828026513588916045091863079624752006299397
skew: 2.97
type: snfs
c0: -685
c6: 1
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = x^6-685
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14000000
tasks.lim1 = 14000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 406333330702199036642405674609910262037608383142928136056601989464934249194118464245836961679345923 70447017324599771413182325280482980669295273274090839
Info:Square Root: Total cpu/real time for sqrt: 1168.37/352.895
Info:Filtering - Singleton removal: Total cpu/real time for purge: 417.44/468.571
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28223866
Info:Lattice Sieving: Average J: 1894.37 for 3409437 special-q, max bucket fill -bkmult 1.0,1s:1.220010
Info:Lattice Sieving: Total time: 730565s
Info:Linear Algebra: Total cpu/real time for bwc: 113934/29178.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 73118.35, WCT time 18681.87, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (79872 iterations)
Info:Linear Algebra: Lingen CPU time 538.27, WCT time 136.53
Info:Linear Algebra: Mksol: CPU time 39363.15,  WCT time 10049.27, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 179.09/45.9917
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 119.6/142.598
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 141.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 535.5/540.367
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 436.2s
Info:Filtering - Merging: Merged matrix has 2548195 rows and total weight 434989574 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 705.96/194.724
Info:Filtering - Merging: Total cpu/real time for replay: 99.2/87.0158
Info:Generate Factor Base: Total cpu/real time for makefb: 9.03/3.56869
Info:Quadratic Characters: Total cpu/real time for characters: 88.01/38.256
Info:Square Root: Total cpu/real time for sqrt: 1168.37/352.895
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.49223e+06/312982
Info:root: Cleaning up computation data in /tmp/cado.sn0_ry5p
406333330702199036642405674609910262037608383142928136056601989464934249194118464245836961679345923 70447017324599771413182325280482980669295273274090839
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 12, 2022 20:59:48 UTC 2022 年 1 月 13 日 (木) 5 時 59 分 48 秒 (日本時間)
4511e64480Ignacio SantosJanuary 30, 2022 14:46:41 UTC 2022 年 1 月 30 日 (日) 23 時 46 分 41 秒 (日本時間)

2×10198-1379

c153

name 名前Ignacio Santos
date 日付January 30, 2022 13:38:55 UTC 2022 年 1 月 30 日 (日) 22 時 38 分 55 秒 (日本時間)
composite number 合成数
197068690774859205710886550702981724717084220924981043964085404811364638886309142481191223471879549547893049536885625053769851401951405798741920810878617<153>
prime factors 素因数
185885713903386331461884940451285606918739<42>
composite cofactor 合成数の残り
1060160496665629724148371814507510069995666510554017002415256815474915294996915816702722078328785888009632261603<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:767180654
Step 1 took 12875ms
********** Factor found in step 2: 185885713903386331461884940451285606918739
Found prime factor of 42 digits: 185885713903386331461884940451285606918739
Composite cofactor 1060160496665629724148371814507510069995666510554017002415256815474915294996915816702722078328785888009632261603 has 112 digits
software ソフトウェア
GMP-ECM

c112

name 名前Ignacio Santos
date 日付February 1, 2022 15:07:31 UTC 2022 年 2 月 2 日 (水) 0 時 7 分 31 秒 (日本時間)
composite number 合成数
1060160496665629724148371814507510069995666510554017002415256815474915294996915816702722078328785888009632261603<112>
prime factors 素因数
578578757988125218880925077496328620145621<42>
1832352954595316329288883823161980007615193426940921833997666758921943<70>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2176405906
Step 1 took 12875ms
Step 2 took 8031ms
********** Factor found in step 2: 578578757988125218880925077496328620145621
Found prime factor of 42 digits: 578578757988125218880925077496328620145621
Prime cofactor 1832352954595316329288883823161980007615193426940921833997666758921943 has 70 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 13, 2022 19:03:19 UTC 2022 年 1 月 14 日 (金) 4 時 3 分 19 秒 (日本時間)

2×10203-1379

c199

name 名前Ignacio Santos
date 日付January 27, 2022 20:38:21 UTC 2022 年 1 月 28 日 (金) 5 時 38 分 21 秒 (日本時間)
composite number 合成数
7124790709272915108118699013216486765701257525560186669516582950375832709914146271953261372947169676890741334473299846816999750632325175447971215845534537422963200455986605393466566919596736845855153<199>
prime factors 素因数
5936968655029678692570870482263998746467<40>
composite cofactor 合成数の残り
1200072145106735204055277456697486914005922616097634293419781076243484421164933167519662249024962180426802406445862835090444402685525133861898114336936919920859<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2145170812
Step 1 took 36672ms
Step 2 took 14547ms
********** Factor found in step 2: 5936968655029678692570870482263998746467
Found prime factor of 40 digits: 5936968655029678692570870482263998746467
Composite cofactor 1200072145106735204055277456697486914005922616097634293419781076243484421164933167519662249024962180426802406445862835090444402685525133861898114336936919920859 has 160 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 29, 2021 12:43:19 UTC 2021 年 12 月 29 日 (水) 21 時 43 分 19 秒 (日本時間)
4511e64480Ignacio SantosJanuary 29, 2022 10:29:21 UTC 2022 年 1 月 29 日 (土) 19 時 29 分 21 秒 (日本時間)

2×10204-1379

c165

name 名前Dmitry Domanov
date 日付February 8, 2022 21:15:19 UTC 2022 年 2 月 9 日 (水) 6 時 15 分 19 秒 (日本時間)
composite number 合成数
127448671259683976823423461489799313747512756092083129821003158091187639994654676285344823540948029016057168685734015377416051174457966970770645449370223444057304997<165>
prime factors 素因数
1865879163863219071342602928892945500433<40>
68304890117218106802064068507888180299545421419905747038072386155043229128799942755281881555523419713117670857233878805306709<125>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2209405442
Step 1 took 57784ms
Step 2 took 20008ms
********** Factor found in step 2: 1865879163863219071342602928892945500433
Found probable prime factor of 40 digits: 1865879163863219071342602928892945500433
Probable prime cofactor 68304890117218106802064068507888180299545421419905747038072386155043229128799942755281881555523419713117670857233878805306709 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 29, 2021 23:18:02 UTC 2021 年 12 月 30 日 (木) 8 時 18 分 2 秒 (日本時間)
4511e6960 / 3970Dmitry DomanovFebruary 7, 2022 14:02:16 UTC 2022 年 2 月 7 日 (月) 23 時 2 分 16 秒 (日本時間)

2×10205-1379

c185

name 名前Dmitry Domanov
date 日付February 8, 2022 08:54:03 UTC 2022 年 2 月 8 日 (火) 17 時 54 分 3 秒 (日本時間)
composite number 合成数
19129386163686556430193445139086900181560800973495063383308631421840024890015875303897262804415233181940050459758507244547846025459179525758913749486395196168052371808812205910816647641<185>
prime factors 素因数
658706048919079522772439661459449179323333223<45>
composite cofactor 合成数の残り
29040853951587980925087612213110168419554464432029597419977495222825213407730002489469143542186256532441761258926767367510576890551886827967<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1213720717
Step 1 took 65692ms
Step 2 took 22960ms
********** Factor found in step 2: 658706048919079522772439661459449179323333223
Found probable prime factor of 45 digits: 658706048919079522772439661459449179323333223
Composite cofactor 29040853951587980925087612213110168419554464432029597419977495222825213407730002489469143542186256532441761258926767367510576890551886827967 has 140 digits

c140

name 名前Eric Jeancolas
date 日付February 13, 2022 05:43:01 UTC 2022 年 2 月 13 日 (日) 14 時 43 分 1 秒 (日本時間)
composite number 合成数
29040853951587980925087612213110168419554464432029597419977495222825213407730002489469143542186256532441761258926767367510576890551886827967<140>
prime factors 素因数
3052341277529193832472720816148683299493460027023851381651068539551<67>
9514287987841235880765090871280797496218565978335558912230171396351675617<73>
factorization results 素因数分解の結果
29040853951587980925087612213110168419554464432029597419977495222825213407730002489469143542186256532441761258926767367510576890551886827967=3052341277529193832472720816148683299493460027023851381651068539551*9514287987841235880765090871280797496218565978335558912230171396351675617

cado polynomial
n: 29040853951587980925087612213110168419554464432029597419977495222825213407730002489469143542186256532441761258926767367510576890551886827967
skew: 265502.413
c0: 1060123867264343782136529849680712
c1: -5116466202042901990716516058
c2: -55970455031117678877657
c3: 8481299776545991
c4: 269853417678
c5: 855360
Y0: -724304450001043563672395971
Y1: 50206582584328195423
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.528e-07
# f(x) = 855360*x^5+269853417678*x^4+8481299776545991*x^3-55970455031117678877657*x^2-5116466202042901990716516058*x+1060123867264343782136529849680712
# g(x) = 50206582584328195423*x-724304450001043563672395971

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 21
tasks.sieve.ncurves1 = 24
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3052341277529193832472720816148683299493460027023851381651068539551 9514287987841235880765090871280797496218565978335558912230171396351675617
Info:Square Root: Total cpu/real time for sqrt: 911.42/270.969
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 455.97/330.796
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 287.7s
Info:Square Root: Total cpu/real time for sqrt: 911.42/270.969
Info:Generate Free Relations: Total cpu/real time for freerel: 496.22/124.852
Info:Filtering - Singleton removal: Total cpu/real time for purge: 211.91/204.368
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33267269
Info:Lattice Sieving: Average J: 3812.52 for 928048 special-q, max bucket fill -bkmult 1.0,1s:1.143590
Info:Lattice Sieving: Total time: 337593s
Info:Generate Factor Base: Total cpu/real time for makefb: 11.76/3.13451
Info:Linear Algebra: Total cpu/real time for bwc: 67149.9/17250.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 43062.23, WCT time 11021.83, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62976 iterations)
Info:Linear Algebra: Lingen CPU time 399.48, WCT time 101.6
Info:Linear Algebra: Mksol: CPU time 23303.58,  WCT time 5980.54, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31488 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 149.9/174.294
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 174.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9708.76
Info:Polynomial Selection (root optimized): Rootsieve time: 9706.26
Info:Filtering - Merging: Merged matrix has 2009544 rows and total weight 344027521 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 515.03/146.083
Info:Filtering - Merging: Total cpu/real time for replay: 83.75/72.7419
Info:Quadratic Characters: Total cpu/real time for characters: 80.12/34.8784
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66455/41.750/50.191/55.100/0.936
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54438/40.720/44.855/50.870/1.076
Info:Polynomial Selection (size optimized): Total time: 24282.4
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 752323/48208.4
Info:root: Cleaning up computation data in /tmp/cado.jjm795k2
3052341277529193832472720816148683299493460027023851381651068539551 9514287987841235880765090871280797496218565978335558912230171396351675617
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 30, 2021 05:47:19 UTC 2021 年 12 月 30 日 (木) 14 時 47 分 19 秒 (日本時間)
4511e65440960Dmitry DomanovFebruary 7, 2022 14:02:56 UTC 2022 年 2 月 7 日 (月) 23 時 2 分 56 秒 (日本時間)
4480Ignacio SantosFebruary 9, 2022 16:30:56 UTC 2022 年 2 月 10 日 (木) 1 時 30 分 56 秒 (日本時間)

2×10207-1379

c188

composite cofactor 合成数の残り
21179434579975433467747246201912543984210170468434483395234698585713447223214694194041855887037505734295623180679169256642531374447091256696132942444140644150775363822149687815186347428683<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 30, 2021 12:33:13 UTC 2021 年 12 月 30 日 (木) 21 時 33 分 13 秒 (日本時間)
4511e6960 / 3970Dmitry DomanovFebruary 7, 2022 14:03:18 UTC 2022 年 2 月 7 日 (月) 23 時 3 分 18 秒 (日本時間)

2×10208-1379

c197

composite cofactor 合成数の残り
14291557526789936593493231280736373777918271085535396033433440878911308276007165387617806995159643172732388710244933942796707738192448798679541155957160929498740606843180670533154273114550901441121<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 30, 2021 23:11:06 UTC 2021 年 12 月 31 日 (金) 8 時 11 分 6 秒 (日本時間)
4511e6960 / 3970Dmitry DomanovFebruary 8, 2022 05:47:38 UTC 2022 年 2 月 8 日 (火) 14 時 47 分 38 秒 (日本時間)

2×10210-1379

c165

composite cofactor 合成数の残り
459431234849986362911344720505069182957401463750417857321030477980437823461223446227989960751706956032699888238279320751271036616789024871005517827919389644955641213<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 31, 2021 03:45:05 UTC 2021 年 12 月 31 日 (金) 12 時 45 分 5 秒 (日本時間)
4511e6960 / 3970Dmitry DomanovFebruary 8, 2022 05:48:22 UTC 2022 年 2 月 8 日 (火) 14 時 48 分 22 秒 (日本時間)

2×10211-1379

c120

name 名前Ignacio Santos
date 日付December 30, 2021 11:02:03 UTC 2021 年 12 月 30 日 (木) 20 時 2 分 3 秒 (日本時間)
composite number 合成数
229997060753283682095265965315301484528921733968509891387343188751438030171661462380200465902848969902362765770131179983<120>
prime factors 素因数
1248078993608584242400904723705745762869<40>
184280852358784360352984652093465446431755647246185794711359390648015573623637107<81>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2610280763
Step 1 took 4797ms
Step 2 took 2953ms
********** Factor found in step 2: 1248078993608584242400904723705745762869
Found prime factor of 40 digits: 1248078993608584242400904723705745762869
Prime cofactor 184280852358784360352984652093465446431755647246185794711359390648015573623637107 has 81 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10212-1379

c211

composite cofactor 合成数の残り
3174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174603174601<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62200ebinaDecember 31, 2021 13:34:55 UTC 2021 年 12 月 31 日 (金) 22 時 34 分 55 秒 (日本時間)
4511e65380900Dmitry DomanovFebruary 8, 2022 05:49:22 UTC 2022 年 2 月 8 日 (火) 14 時 49 分 22 秒 (日本時間)
4480Ignacio SantosApril 24, 2022 16:13:31 UTC 2022 年 4 月 25 日 (月) 1 時 13 分 31 秒 (日本時間)

2×10213-1379

c205

composite cofactor 合成数の残り
1614001987596641667623911070485389881713563023683170338137459476475358954586767163920746120645145936998512181494794657576271760108960693141933744190289891760483296174125222846162303586338159771439951894929<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 31, 2021 07:55:48 UTC 2021 年 12 月 31 日 (金) 16 時 55 分 48 秒 (日本時間)
4511e6960 / 3970Dmitry DomanovFebruary 8, 2022 05:49:47 UTC 2022 年 2 月 8 日 (火) 14 時 49 分 47 秒 (日本時間)

2×10215-1379

c176

name 名前ebina
date 日付January 13, 2022 22:52:38 UTC 2022 年 1 月 14 日 (金) 7 時 52 分 38 秒 (日本時間)
composite number 合成数
10933720955522118110297640065177334799346726571363769304219439903764764899771846004409781490864685141764024463080363103414053767072297036528983035294563316279027527426961033157<176>
prime factors 素因数
523673165092880164290980585361566311463723103217<48>
20878902499391738386936000878665504343952313237772091603507089187107605080437724271130660451189942837463973509723564484586476821<128>
factorization results 素因数分解の結果
Fri Jan 14 06:45:35 2022  Msieve v. 1.53 (SVN unknown)
Fri Jan 14 06:45:35 2022  random seeds: 02ec9ab0 f1a56b72
Fri Jan 14 06:45:35 2022  factoring 10933720955522118110297640065177334799346726571363769304219439903764764899771846004409781490864685141764024463080363103414053767072297036528983035294563316279027527426961033157 (176 digits)
Fri Jan 14 06:45:36 2022  searching for 15-digit factors
Fri Jan 14 06:45:37 2022  commencing number field sieve (176-digit input)
Fri Jan 14 06:45:37 2022  R0: -1000000000000000000000000000000000000
Fri Jan 14 06:45:37 2022  R1: 1
Fri Jan 14 06:45:37 2022  A0: -685
Fri Jan 14 06:45:37 2022  A1: 0
Fri Jan 14 06:45:37 2022  A2: 0
Fri Jan 14 06:45:37 2022  A3: 0
Fri Jan 14 06:45:37 2022  A4: 0
Fri Jan 14 06:45:37 2022  A5: 0
Fri Jan 14 06:45:37 2022  A6: 1
Fri Jan 14 06:45:37 2022  skew 2.97, size 1.205e-10, alpha -0.496, combined = 3.805e-12 rroots = 2
Fri Jan 14 06:45:37 2022  
Fri Jan 14 06:45:37 2022  commencing square root phase
Fri Jan 14 06:45:37 2022  reading relations for dependency 1
Fri Jan 14 06:45:38 2022  read 2496084 cycles
Fri Jan 14 06:45:42 2022  cycles contain 7962124 unique relations
Fri Jan 14 06:47:08 2022  read 7962124 relations
Fri Jan 14 06:47:55 2022  multiplying 7962124 relations
Fri Jan 14 06:53:29 2022  multiply complete, coefficients have about 196.66 million bits
Fri Jan 14 06:53:30 2022  initial square root is modulo 11423053
Fri Jan 14 07:00:29 2022  sqrtTime: 892
Fri Jan 14 07:00:29 2022  p48 factor: 523673165092880164290980585361566311463723103217
Fri Jan 14 07:00:29 2022  p128 factor: 20878902499391738386936000878665504343952313237772091603507089187107605080437724271130660451189942837463973509723564484586476821
Fri Jan 14 07:00:29 2022  elapsed time 00:14:54

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10216-1379

c196

composite cofactor 合成数の残り
1862894506286392893707301414869358575638946002173148364457729471243887587346754402853669733654288450481667441136384862473974838828195048968474313804586637126520244829316957627216995556682419482409<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 29, 2022 11:18:35 UTC 2022 年 1 月 29 日 (土) 20 時 18 分 35 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 8, 2022 08:41:24 UTC 2022 年 2 月 8 日 (火) 17 時 41 分 24 秒 (日本時間)

2×10217-1379

c211

composite cofactor 合成数の残り
2434247624569883658786155119265353803895307391312973529626193283399611810531309840652933371843130754028892815330307320111230510957096263904574572019711076715192175938655012462739275891661862070417671858795137493<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 29, 2022 11:18:25 UTC 2022 年 1 月 29 日 (土) 20 時 18 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 5, 2022 11:01:11 UTC 2022 年 9 月 5 日 (月) 20 時 1 分 11 秒 (日本時間)
4511e64480Ignacio SantosSeptember 25, 2022 09:36:01 UTC 2022 年 9 月 25 日 (日) 18 時 36 分 1 秒 (日本時間)

2×10218-1379

c203

composite cofactor 合成数の残り
11934693824895935321187744075206660196207813340177060989068876117507625983215821602032337979878741027963277095061997568425682669296835844790984311185579539271827877978275304356185927820039579060397523709<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 29, 2022 11:18:12 UTC 2022 年 1 月 29 日 (土) 20 時 18 分 12 秒 (日本時間)

2×10220-1379

c183

composite cofactor 合成数の残り
123978040473420821759058009854891785918650487709029421570881338186505578110211280562686041395014422916723430707941839489553684562988117031896625335515048161087177245026046360388529273<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 29, 2022 11:18:02 UTC 2022 年 1 月 29 日 (土) 20 時 18 分 2 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 8, 2022 08:41:34 UTC 2022 年 2 月 8 日 (火) 17 時 41 分 34 秒 (日本時間)

2×10222-1379

c218

composite cofactor 合成数の残り
73123468977368286351504515374209352491682205403824357427516361376183686154071149135314979342620013893459105699974406785857921099776973419619026726627911228108661474900369273518335709846075097802639757230082995137289313<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 29, 2022 11:17:51 UTC 2022 年 1 月 29 日 (土) 20 時 17 分 51 秒 (日本時間)

2×10223-1379

c185

name 名前Dmitry Domanov
date 日付February 8, 2022 21:23:56 UTC 2022 年 2 月 9 日 (水) 6 時 23 分 56 秒 (日本時間)
composite number 合成数
59431288270594941878717340912041176958152858457993019890499460514223053834676466996346822382586003790839990487781222240501634699087955570426237420122448080346513980737959802144087657403<185>
prime factors 素因数
143619757879998912545188211498945384915653<42>
composite cofactor 合成数の残り
413809973974838397620369988639689149162157273207916398066511325253313751462088326267929945598872171547481030241256853399097296095238578964634751<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2477045575
Step 1 took 42316ms
Step 2 took 15308ms
********** Factor found in step 2: 143619757879998912545188211498945384915653
Found probable prime factor of 42 digits: 143619757879998912545188211498945384915653
Composite cofactor 413809973974838397620369988639689149162157273207916398066511325253313751462088326267929945598872171547481030241256853399097296095238578964634751 has 144 digits

c144

name 名前Eric Jeancolas
date 日付February 14, 2022 14:12:24 UTC 2022 年 2 月 14 日 (月) 23 時 12 分 24 秒 (日本時間)
composite number 合成数
413809973974838397620369988639689149162157273207916398066511325253313751462088326267929945598872171547481030241256853399097296095238578964634751<144>
prime factors 素因数
182456137576668624764025636556875870101922819088964680669427<60>
2267997007231144450304020255447855186932485281444991927865443678461798466969906188613<85>
factorization results 素因数分解の結果
413809973974838397620369988639689149162157273207916398066511325253313751462088326267929945598872171547481030241256853399097296095238578964634751=182456137576668624764025636556875870101922819088964680669427*2267997007231144450304020255447855186932485281444991927865443678461798466969906188613

cado polynomial
n: 413809973974838397620369988639689149162157273207916398066511325253313751462088326267929945598872171547481030241256853399097296095238578964634751
skew: 308167.86
c0: -3758127364143568585402614056375724
c1: -24499310097038856133931049457
c2: 125863135519105832535758
c3: 263157176104877633
c4: -672152224248
c5: 1349280
Y0: -4500256803019451107967297823
Y1: 27822731828660050073
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.901e-07
# f(x) = 1349280*x^5-672152224248*x^4+263157176104877633*x^3+125863135519105832535758*x^2-24499310097038856133931049457*x-3758127364143568585402614056375724
# g(x) = 27822731828660050073*x-4500256803019451107967297823

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 182456137576668624764025636556875870101922819088964680669427 2267997007231144450304020255447855186932485281444991927865443678461798466969906188613
Info:Square Root: Total cpu/real time for sqrt: 1643.01/492.34
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 939.75/918.949
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 774.3000000000001s
Info:Square Root: Total cpu/real time for sqrt: 1643.01/492.34
Info:Filtering - Singleton removal: Total cpu/real time for purge: 710.66/801.237
Info:Generate Factor Base: Total cpu/real time for makefb: 18.63/4.93789
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47254147
Info:Lattice Sieving: Average J: 3806.32 for 957818 special-q, max bucket fill -bkmult 1.0,1s:1.084790
Info:Lattice Sieving: Total time: 1.09274e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 202867/51934.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 130408.02, WCT time 33248.78, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (105472 iterations)
Info:Linear Algebra: Lingen CPU time 743.95, WCT time 188.62
Info:Linear Algebra: Mksol: CPU time 70422.15,  WCT time 18000.8, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (52736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 501.01/126.825
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 213.33/256.504
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 255.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5775.29
Info:Polynomial Selection (root optimized): Rootsieve time: 5772.7
Info:Filtering - Merging: Merged matrix has 3371259 rows and total weight 575490148 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 857.55/242.116
Info:Filtering - Merging: Total cpu/real time for replay: 144.98/127.21
Info:Quadratic Characters: Total cpu/real time for characters: 134.87/57.1447
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 77948/43.680/51.750/57.510/0.913
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63978/41.900/46.275/52.530/1.113
Info:Polynomial Selection (size optimized): Total time: 43906.8
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.37384e+06/140384
Info:root: Cleaning up computation data in /tmp/cado.jaf6w43j
182456137576668624764025636556875870101922819088964680669427 2267997007231144450304020255447855186932485281444991927865443678461798466969906188613
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 29, 2022 11:17:41 UTC 2022 年 1 月 29 日 (土) 20 時 17 分 41 秒 (日本時間)
4511e656801200Dmitry DomanovFebruary 8, 2022 08:41:49 UTC 2022 年 2 月 8 日 (火) 17 時 41 分 49 秒 (日本時間)
4480Ignacio SantosFebruary 9, 2022 17:26:50 UTC 2022 年 2 月 10 日 (木) 2 時 26 分 50 秒 (日本時間)

2×10225-1379

c177

name 名前Dmitry Domanov
date 日付February 8, 2022 21:25:16 UTC 2022 年 2 月 9 日 (水) 6 時 25 分 16 秒 (日本時間)
composite number 合成数
943355836928868735490863181673437314306307898817819419278097095236861019341778621416647500682851443453618703202859065334713383368890090461393964371127729523363011259114783528241<177>
prime factors 素因数
31897701728672514313217827702828852376840557<44>
composite cofactor 合成数の残り
29574414011179241996933481161788743345257310162609015498766429682848874081924864065069522409501695113804891686987482145779862570493013<134>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3864069797
Step 1 took 31537ms
Step 2 took 13822ms
********** Factor found in step 2: 31897701728672514313217827702828852376840557
Found prime factor of 44 digits: 31897701728672514313217827702828852376840557
Composite cofactor 29574414011179241996933481161788743345257310162609015498766429682848874081924864065069522409501695113804891686987482145779862570493013 has 134 digits

c134

name 名前Eric Jeancolas
date 日付February 13, 2022 21:17:12 UTC 2022 年 2 月 14 日 (月) 6 時 17 分 12 秒 (日本時間)
composite number 合成数
29574414011179241996933481161788743345257310162609015498766429682848874081924864065069522409501695113804891686987482145779862570493013<134>
prime factors 素因数
833649370454967944608826785634178054657194740673<48>
35475842793522258306149501973904695153758702483406064931437789199236328017678937394581<86>
factorization results 素因数分解の結果
29574414011179241996933481161788743345257310162609015498766429682848874081924864065069522409501695113804891686987482145779862570493013=833649370454967944608826785634178054657194740673*35475842793522258306149501973904695153758702483406064931437789199236328017678937394581

cado polynomial
n: 29574414011179241996933481161788743345257310162609015498766429682848874081924864065069522409501695113804891686987482145779862570493013
skew: 931352.809
c0: 834492488067233398841296647184500
c1: 11545776663926499292884068685
c2: 13248111553792507163986
c3: -32210181896768305
c4: -4574150714
c5: 5880
Y0: -148385527048941185894699114
Y1: 3471141811365113141
# MurphyE (Bf=1.64e+07,Bg=3.34e+06,area=5.51e+14) = 4.46e-10
# f(x) = 5880*x^5-4574150714*x^4-32210181896768305*x^3+13248111553792507163986*x^2+11545776663926499292884068685*x+834492488067233398841296647184500
# g(x) = 3471141811365113141*x-148385527048941185894699114

cado parameters (extracts)
lim0 = 3341873
lim1 = 16407032
lpb0 = 27
lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 833649370454967944608826785634178054657194740673 35475842793522258306149501973904695153758702483406064931437789199236328017678937394581
Info:Square Root: Total cpu/real time for sqrt: 2081.52/288.711
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36244/39.580/47.968/53.380/0.991
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36244/38.770/42.906/48.680/1.258
Info:Polynomial Selection (size optimized): Total time: 12282.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5366.09
Info:Polynomial Selection (root optimized): Rootsieve time: 5364.48
Info:Generate Factor Base: Total cpu/real time for makefb: 18.19/2.03099
Info:Generate Free Relations: Total cpu/real time for freerel: 263.62/22.8067
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19115823
Info:Lattice Sieving: Average J: 3849.62 for 574417 special-q, max bucket fill: 0.731357
Info:Lattice Sieving: Total CPU time: 748329s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 69.39/173.53
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 173.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 321.48/287.659
Info:Filtering - Singleton removal: Total cpu/real time for purge: 237.75/238.199
Info:Filtering - Merging: Merged matrix has 1065310 rows and total weight 181103223 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 509.38/486.196
Info:Filtering - Merging: Total cpu/real time for replay: 36.5/29.0484
Info:Linear Algebra: Total cpu/real time for bwc: 45462.4/0.000257492
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3536.8
Info:Linear Algebra: Lingen CPU time 8754.34, WCT time 1151.41
Info:Linear Algebra: Mksol: WCT time 1973.26
Info:Quadratic Characters: Total cpu/real time for characters: 43.24/12.7239
Info:Square Root: Total cpu/real time for sqrt: 2081.52/288.711
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 815021/89022.1
Info:root: Cleaning up computation data in /tmp/cado.pc6nzpy7
833649370454967944608826785634178054657194740673 35475842793522258306149501973904695153758702483406064931437789199236328017678937394581
software ソフトウェア
cado-nfs-2.3.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 29, 2022 11:17:30 UTC 2022 年 1 月 29 日 (土) 20 時 17 分 30 秒 (日本時間)
4511e656801200Dmitry DomanovFebruary 8, 2022 08:51:43 UTC 2022 年 2 月 8 日 (火) 17 時 51 分 43 秒 (日本時間)
4480Ignacio SantosFebruary 9, 2022 16:29:57 UTC 2022 年 2 月 10 日 (木) 1 時 29 分 57 秒 (日本時間)

2×10226-1379

c201

composite cofactor 合成数の残り
509758863111809358153476176773789860907503341354203204743912142810997592489733215377896671373719048107333636564494552556594247756903699269216618074707186692675070361627186668070898219472082455775815311<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 29, 2022 11:17:19 UTC 2022 年 1 月 29 日 (土) 20 時 17 分 19 秒 (日本時間)

2×10227-1379

c210

composite cofactor 合成数の残り
431075101275513130810088258241899569445261552867510970869699196210625647784593846403625092988945581780745403750940411289430498194447695066449000883164664368061260175116103273628726644780274636290073276961661787<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 29, 2022 10:50:06 UTC 2022 年 1 月 29 日 (土) 19 時 50 分 6 秒 (日本時間)

2×10228-1379

c208

composite cofactor 合成数の残り
1213553711436992610927825387321473118368454083860207801156934846791701507413553748801966640232889366215477282668639000914371942490514128822960122013919717078412332591229080935951208375677704200002793668656521<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 29, 2022 10:49:56 UTC 2022 年 1 月 29 日 (土) 19 時 49 分 56 秒 (日本時間)

2×10229-1379

c222

name 名前Dmitry Domanov
date 日付January 29, 2022 17:07:15 UTC 2022 年 1 月 30 日 (日) 2 時 7 分 15 秒 (日本時間)
composite number 合成数
524206808916998954810254040841633951574980667908145652224795291343791311591908354181693382473528014830649355156167629909783221875171104378723064190093534483018464582006271033634393166796499588065184382799296336232118355623<222>
prime factors 素因数
439982786400292908423913395545317<33>
composite cofactor 合成数の残り
1191425721914674378678915821516429332556480724739805986385281768909032766598014784163379866554148035103394424073913954541129587916201347629051832353114876082801782176883785744060138565873819<190>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:670557178
Step 1 took 28987ms
Step 2 took 12186ms
********** Factor found in step 2: 439982786400292908423913395545317
Found prime factor of 33 digits: 439982786400292908423913395545317
Composite cofactor 1191425721914674378678915821516429332556480724739805986385281768909032766598014784163379866554148035103394424073913954541129587916201347629051832353114876082801782176883785744060138565873819 has 190 digits

c190

name 名前Dmitry Domanov
date 日付February 9, 2022 15:33:02 UTC 2022 年 2 月 10 日 (木) 0 時 33 分 2 秒 (日本時間)
composite number 合成数
1191425721914674378678915821516429332556480724739805986385281768909032766598014784163379866554148035103394424073913954541129587916201347629051832353114876082801782176883785744060138565873819<190>
prime factors 素因数
7422583830732850338176209599778715083687831<43>
composite cofactor 合成数の残り
160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1424127318
Step 1 took 31407ms
Step 2 took 14042ms
********** Factor found in step 2: 7422583830732850338176209599778715083687831
Found prime factor of 43 digits: 7422583830732850338176209599778715083687831
Composite cofactor 160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149 has 147 digits

c147

name 名前Ignacio Santos
date 日付February 18, 2022 15:50:05 UTC 2022 年 2 月 19 日 (土) 0 時 50 分 5 秒 (日本時間)
composite number 合成数
160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149<147>
prime factors 素因数
8660944773961940506956369395881120453611786569784650041<55>
18533036939044154410326484436857774098541816733946343812073567469358942610801259086511283589<92>
factorization results 素因数分解の結果
02/15/22 20:04:52, nfs: commencing nfs on c147: 160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149
02/15/22 20:04:52, nfs: input divides 10^230 - 685
02/15/22 20:04:52, nfs: commencing snfs on c147: 160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149
02/15/22 20:04:52, gen: best 3 polynomials:
n: 160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149
# 10^230-685, difficulty: 230.00, anorm: 1.32e+36, rnorm: 4.93e+44
# scaled difficulty: 231.71, suggest sieving rational side
# size = 2.556e-11, alpha = -0.750, combined = 1.260e-12, rroots = 2
type: snfs
size: 230
skew: 1.3781
c6: 20
c0: -137
Y1: -1
Y0: 100000000000000000000000000000000000000
n: 160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149
# 10^230-685, difficulty: 231.20, anorm: 1.88e+36, rnorm: 6.98e+44
# scaled difficulty: 232.92, suggest sieving rational side
# size = 2.167e-11, alpha = -1.212, combined = 1.120e-12, rroots = 2
type: snfs
size: 231
skew: 2.7562
c6: 5
c0: -2192
Y1: -1
Y0: 200000000000000000000000000000000000000
n: 160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149
# 10^230-685, difficulty: 230.00, anorm: -4.46e+36, rnorm: 5.79e+52
# scaled difficulty: 233.22, suggest sieving rational side
# size = 5.815e-16, alpha = 1.079, combined = 6.245e-13, rroots = 1
type: snfs
size: 230
skew: 1.0000
c5: 1
c0: -685
Y1: -1
Y0: 10000000000000000000000000000000000000000000000
02/15/22 20:04:52, nfs: input snfs form is better done by gnfs: difficulty = 230.00, size = 159, actual size = 147
02/15/22 20:04:52, nfs: commencing poly selection with 46 threads
02/15/22 20:04:52, nfs: setting deadline of 9782 seconds
02/15/22 20:04:52, nfs: expecting degree 5 poly E from 6.72e-12 to > 7.72e-12
02/15/22 20:04:52, nfs: searching for avg quality poly E > 6.96e-12
02/15/22 20:18:13, nfs: completed 58 ranges of size 250 in 801.0776 seconds
02/15/22 20:18:13, nfs: best poly = # norm 3.907568e-14 alpha -6.572358 e 8.541e-12 rroots 3
02/15/22 20:18:13, nfs: commencing lattice sieving with 46 threads
02/15/22 20:26:22, nfs: commencing lattice sieving with 46 threads
02/15/22 20:34:43, nfs: commencing lattice sieving with 46 threads
02/15/22 20:43:05, nfs: commencing lattice sieving with 46 threads
02/15/22 20:51:38, nfs: commencing lattice sieving with 46 threads
02/15/22 20:59:50, nfs: commencing lattice sieving with 46 threads
02/15/22 21:07:39, nfs: commencing lattice sieving with 46 threads
02/15/22 21:15:37, nfs: commencing lattice sieving with 46 threads
02/15/22 21:24:07, nfs: commencing lattice sieving with 46 threads
02/15/22 21:32:12, nfs: commencing lattice sieving with 46 threads
02/15/22 21:40:14, nfs: commencing lattice sieving with 46 threads
02/15/22 21:49:14, nfs: commencing lattice sieving with 46 threads
02/15/22 21:57:37, nfs: commencing lattice sieving with 46 threads
02/15/22 22:05:50, nfs: commencing lattice sieving with 46 threads
02/15/22 22:14:38, nfs: commencing lattice sieving with 46 threads
02/15/22 22:22:58, nfs: commencing lattice sieving with 46 threads
02/15/22 22:31:06, nfs: commencing lattice sieving with 46 threads
02/15/22 22:39:51, nfs: commencing lattice sieving with 46 threads
02/15/22 22:48:18, nfs: commencing lattice sieving with 46 threads
02/15/22 22:56:33, nfs: commencing lattice sieving with 46 threads
02/15/22 23:04:28, nfs: commencing lattice sieving with 46 threads
02/15/22 23:12:39, nfs: commencing lattice sieving with 46 threads
02/15/22 23:21:19, nfs: commencing lattice sieving with 46 threads
02/15/22 23:29:46, nfs: commencing lattice sieving with 46 threads
02/15/22 23:38:27, nfs: commencing lattice sieving with 46 threads
02/15/22 23:46:53, nfs: commencing lattice sieving with 46 threads
02/15/22 23:55:21, nfs: commencing lattice sieving with 46 threads
02/16/22 00:03:38, nfs: commencing lattice sieving with 46 threads
02/16/22 00:12:10, nfs: commencing lattice sieving with 46 threads
02/16/22 00:20:29, nfs: commencing lattice sieving with 46 threads
02/16/22 00:29:27, nfs: commencing lattice sieving with 46 threads
02/16/22 14:50:28, nfs: refusing to resume without -R option
02/16/22 14:51:10, nfs: previous data file found - commencing search for last special-q
02/16/22 14:51:19, nfs: parsing special-q from .dat file
02/16/22 14:51:19, nfs: commencing nfs on c147: 160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149
02/16/22 14:51:19, nfs: resuming with filtering
02/16/22 14:51:19, nfs: commencing lattice sieving with 46 threads
02/16/22 14:59:22, nfs: commencing lattice sieving with 46 threads
02/16/22 15:07:30, nfs: commencing lattice sieving with 46 threads
02/16/22 15:16:10, nfs: commencing lattice sieving with 46 threads
02/16/22 15:24:19, nfs: commencing lattice sieving with 46 threads
02/16/22 15:32:46, nfs: commencing lattice sieving with 46 threads
02/16/22 15:41:12, nfs: commencing lattice sieving with 46 threads
02/16/22 15:49:46, nfs: commencing lattice sieving with 46 threads
02/16/22 15:58:21, nfs: commencing lattice sieving with 46 threads
02/16/22 16:06:42, nfs: commencing lattice sieving with 46 threads
02/16/22 16:14:50, nfs: commencing lattice sieving with 46 threads
02/16/22 16:23:05, nfs: commencing lattice sieving with 46 threads
02/16/22 16:31:13, nfs: commencing lattice sieving with 46 threads
02/16/22 16:39:26, nfs: commencing lattice sieving with 46 threads
02/16/22 16:47:34, nfs: commencing lattice sieving with 46 threads
02/16/22 16:56:07, nfs: commencing lattice sieving with 46 threads
02/16/22 17:04:35, nfs: commencing lattice sieving with 46 threads
02/16/22 17:13:13, nfs: commencing lattice sieving with 46 threads
02/16/22 17:21:44, nfs: commencing lattice sieving with 46 threads
02/16/22 17:30:16, nfs: commencing lattice sieving with 46 threads
02/16/22 17:38:39, nfs: commencing lattice sieving with 46 threads
02/16/22 17:47:08, nfs: commencing lattice sieving with 46 threads
02/16/22 17:55:48, nfs: commencing lattice sieving with 46 threads
02/16/22 18:04:25, nfs: commencing lattice sieving with 46 threads
02/16/22 18:12:47, nfs: commencing lattice sieving with 46 threads
02/16/22 18:22:15, nfs: commencing lattice sieving with 46 threads
02/16/22 18:31:15, nfs: commencing lattice sieving with 46 threads
02/16/22 18:40:11, nfs: commencing lattice sieving with 46 threads
02/16/22 18:48:57, nfs: commencing lattice sieving with 46 threads
02/16/22 18:57:48, nfs: commencing lattice sieving with 46 threads
02/16/22 19:06:36, nfs: commencing lattice sieving with 46 threads
02/16/22 19:15:02, nfs: commencing lattice sieving with 46 threads
02/16/22 19:23:57, nfs: commencing lattice sieving with 46 threads
02/16/22 19:32:53, nfs: commencing lattice sieving with 46 threads
02/16/22 19:41:34, nfs: commencing lattice sieving with 46 threads
02/16/22 19:50:28, nfs: commencing lattice sieving with 46 threads
02/16/22 19:58:55, nfs: commencing lattice sieving with 46 threads
02/16/22 20:07:34, nfs: commencing lattice sieving with 46 threads
02/16/22 20:16:40, nfs: commencing lattice sieving with 46 threads
02/16/22 20:25:40, nfs: commencing lattice sieving with 46 threads
02/16/22 20:34:50, nfs: commencing lattice sieving with 46 threads
02/16/22 20:43:33, nfs: commencing lattice sieving with 46 threads
02/16/22 20:52:18, nfs: commencing lattice sieving with 46 threads
02/16/22 21:01:31, nfs: commencing lattice sieving with 46 threads
02/16/22 21:10:49, nfs: commencing lattice sieving with 46 threads
02/16/22 21:19:39, nfs: commencing lattice sieving with 46 threads
02/16/22 21:28:14, nfs: commencing lattice sieving with 46 threads
02/16/22 21:38:09, nfs: commencing lattice sieving with 46 threads
02/16/22 21:47:09, nfs: commencing lattice sieving with 46 threads
02/16/22 21:56:09, nfs: commencing lattice sieving with 46 threads
02/16/22 22:04:59, nfs: commencing lattice sieving with 46 threads
02/16/22 22:13:43, nfs: commencing lattice sieving with 46 threads
02/16/22 22:22:05, nfs: commencing lattice sieving with 46 threads
02/16/22 22:31:23, nfs: commencing lattice sieving with 46 threads
02/16/22 22:40:27, nfs: commencing lattice sieving with 46 threads
02/16/22 22:49:15, nfs: commencing lattice sieving with 46 threads
02/16/22 22:58:28, nfs: commencing lattice sieving with 46 threads
02/16/22 23:08:05, nfs: commencing lattice sieving with 46 threads
02/16/22 23:17:36, nfs: commencing lattice sieving with 46 threads
02/16/22 23:26:47, nfs: commencing lattice sieving with 46 threads
02/16/22 23:35:51, nfs: commencing lattice sieving with 46 threads
02/16/22 23:44:39, nfs: commencing lattice sieving with 46 threads
02/16/22 23:53:26, nfs: commencing lattice sieving with 46 threads
02/17/22 00:02:48, nfs: commencing lattice sieving with 46 threads
02/17/22 00:11:54, nfs: commencing lattice sieving with 46 threads
02/17/22 18:54:21, nfs: previous data file found - commencing search for last special-q
02/17/22 18:55:16, nfs: parsing special-q from .dat file
02/17/22 18:55:16, nfs: commencing nfs on c147: 160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149
02/17/22 18:55:16, nfs: resuming with filtering
02/17/22 18:55:16, nfs: commencing lattice sieving with 46 threads
02/17/22 19:04:00, nfs: commencing lattice sieving with 46 threads
02/17/22 19:13:30, nfs: commencing lattice sieving with 46 threads
02/17/22 19:22:15, nfs: commencing lattice sieving with 46 threads
02/17/22 19:30:42, nfs: commencing lattice sieving with 46 threads
02/17/22 19:39:51, nfs: commencing lattice sieving with 46 threads
02/17/22 19:49:05, nfs: commencing lattice sieving with 46 threads
02/17/22 19:58:02, nfs: commencing lattice sieving with 46 threads
02/17/22 20:07:34, nfs: commencing lattice sieving with 46 threads
02/17/22 20:16:30, nfs: commencing lattice sieving with 46 threads
02/17/22 20:25:46, nfs: commencing lattice sieving with 46 threads
02/17/22 20:35:05, nfs: commencing msieve filtering
02/17/22 20:39:40, nfs: raising min_rels by 5.00 percent to 22187931
02/17/22 20:39:40, nfs: commencing lattice sieving with 46 threads
02/17/22 20:48:45, nfs: commencing lattice sieving with 46 threads
02/17/22 20:57:52, nfs: commencing lattice sieving with 46 threads
02/17/22 21:06:51, nfs: commencing lattice sieving with 46 threads
02/17/22 21:15:26, nfs: commencing lattice sieving with 46 threads
02/17/22 21:24:15, nfs: commencing lattice sieving with 46 threads
02/17/22 21:33:34, nfs: commencing msieve filtering
02/17/22 21:38:13, nfs: raising min_rels by 5.00 percent to 23388093
02/17/22 21:38:13, nfs: commencing lattice sieving with 46 threads
02/17/22 21:46:54, nfs: commencing lattice sieving with 46 threads
02/17/22 21:55:52, nfs: commencing lattice sieving with 46 threads
02/17/22 22:04:55, nfs: commencing lattice sieving with 46 threads
02/17/22 22:13:27, nfs: commencing lattice sieving with 46 threads
02/17/22 22:22:00, nfs: commencing lattice sieving with 46 threads
02/17/22 22:31:00, nfs: commencing msieve filtering
02/17/22 22:36:00, nfs: raising min_rels by 5.00 percent to 24580537
02/17/22 22:36:00, nfs: commencing lattice sieving with 46 threads
02/17/22 22:45:46, nfs: commencing lattice sieving with 46 threads
02/17/22 22:55:04, nfs: commencing lattice sieving with 46 threads
02/17/22 23:04:02, nfs: commencing lattice sieving with 46 threads
02/17/22 23:13:36, nfs: commencing lattice sieving with 46 threads
02/17/22 23:23:09, nfs: commencing lattice sieving with 46 threads
02/17/22 23:32:21, nfs: commencing lattice sieving with 46 threads
02/17/22 23:41:00, nfs: commencing msieve filtering
02/17/22 23:46:06, nfs: raising min_rels by 5.00 percent to 25966488
02/17/22 23:46:06, nfs: commencing lattice sieving with 46 threads
02/17/22 23:54:44, nfs: commencing lattice sieving with 46 threads
02/18/22 00:03:15, nfs: commencing lattice sieving with 46 threads
02/18/22 00:12:17, nfs: commencing lattice sieving with 46 threads
02/18/22 00:21:07, nfs: commencing lattice sieving with 46 threads
02/18/22 14:32:06, nfs: previous data file found - commencing search for last special-q
02/18/22 14:32:53, nfs: parsing special-q from .dat file
02/18/22 14:32:53, nfs: commencing nfs on c147: 160513609422858067704907316997916924933797730321194965673697119613297282654089273651625676308633681339560154219141312241249813168783017356071477149
02/18/22 14:32:53, nfs: resuming with filtering
02/18/22 14:32:53, nfs: commencing msieve filtering
02/18/22 14:40:44, nfs: commencing msieve linear algebra
02/18/22 16:21:24, nfs: commencing msieve sqrt
02/18/22 16:48:43, prp55 = 8660944773961940506956369395881120453611786569784650041
02/18/22 16:48:43, prp92 = 18533036939044154410326484436857774098541816733946343812073567469358942610801259086511283589
02/18/22 16:48:44, NFS elapsed time = 8197.3759 seconds.
02/18/22 16:48:44, 
02/18/22 16:48:44, 
software ソフトウェア
Yafu, GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 29, 2022 10:49:48 UTC 2022 年 1 月 29 日 (土) 19 時 49 分 48 秒 (日本時間)
4511e656801200Dmitry DomanovFebruary 8, 2022 08:51:51 UTC 2022 年 2 月 8 日 (火) 17 時 51 分 51 秒 (日本時間)
4480Ignacio SantosFebruary 12, 2022 16:49:14 UTC 2022 年 2 月 13 日 (日) 1 時 49 分 14 秒 (日本時間)

2×10230-1379

c195

composite cofactor 合成数の残り
575756710740551618412553423508836583980873211034278041873830740466815776228049516989085376077193039708678983917252806363953271243092181538711012610678191789780270311967155507441540338529009731867<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 29, 2022 11:17:06 UTC 2022 年 1 月 29 日 (土) 20 時 17 分 6 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 8, 2022 17:59:03 UTC 2022 年 2 月 9 日 (水) 2 時 59 分 3 秒 (日本時間)

2×10232-1379

c224

composite cofactor 合成数の残り
16662890813950998335566331497033610108032161308833681682313250278370462224000552581450328568587203384911637227391846605746188066085421544931031432616457195924927088376122916273531793678389659373878397387122751183441620836781<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 29, 2022 10:49:41 UTC 2022 年 1 月 29 日 (土) 19 時 49 分 41 秒 (日本時間)

2×10234-1379

c216

composite cofactor 合成数の残り
128895488088546781048330279976457565853983929900734014379000515236571907364535596786916070785207610419604452137314381602079696405170936540188997301330354885469042627477255227505209708858073202734716476758268743708841<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 29, 2022 10:48:22 UTC 2022 年 1 月 29 日 (土) 19 時 48 分 22 秒 (日本時間)

2×10235-1379

c198

composite cofactor 合成数の残り
191573766856088753956942945152891699589741925035319842151477416451701475045175535019579574178358056800944729181902898106491920906213206915661717026380759587494115779007545740074909187813593854103347<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 28, 2022 23:25:06 UTC 2022 年 1 月 29 日 (土) 8 時 25 分 6 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 8, 2022 17:59:16 UTC 2022 年 2 月 9 日 (水) 2 時 59 分 16 秒 (日本時間)

2×10236-1379

c190

composite cofactor 合成数の残り
4153337905221366311802563141045932075989597430038156803721254570122714298093054154451743221134000520686882582085709548528025073056588297017898940807323636625606873411109898155327816184120179<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 28, 2022 23:25:33 UTC 2022 年 1 月 29 日 (土) 8 時 25 分 33 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 8, 2022 08:52:00 UTC 2022 年 2 月 8 日 (火) 17 時 52 分 0 秒 (日本時間)

2×10237-1379

c234

composite cofactor 合成数の残り
175116014359513177480080553366605376061640837054548638472988354785045092373697574643201120742491900884335872515541546274406794501357149111286227125470624288591191664477716487172751948165659749584099465896156203484808685754312231853603<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 20:00:57 UTC 2022 年 1 月 29 日 (土) 5 時 0 分 57 秒 (日本時間)

2×10238-1379

c204

composite cofactor 合成数の残り
305822218642985848369876657478328110253628344828478113152632021769653508243430870002614017222492818238759499213254524881081890178601404914023531433046425856172254682778837520094328602708708612758607601841<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 23:24:57 UTC 2022 年 1 月 29 日 (土) 8 時 24 分 57 秒 (日本時間)

2×10239-1379

c213

composite cofactor 合成数の残り
746014082977876426763815330604376134160904957168859033952277449628555303980331430925654805589576294799450076377509319967849276100120474229032398006078047029487403952016533639601984172894009064724152324460652922269<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 23:24:48 UTC 2022 年 1 月 29 日 (土) 8 時 24 分 48 秒 (日本時間)

2×10240-1379

c215

composite cofactor 合成数の残り
49460374746163965062468102775660802128336204488252110682149776764207851531527982673397393560563375950229569764476644113206066843181087434601850838297802539727132516507209417907197846082518945310095619407688367676999<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 23:24:41 UTC 2022 年 1 月 29 日 (土) 8 時 24 分 41 秒 (日本時間)

2×10242-1379

c180

composite cofactor 合成数の残り
475431146869430564305559256085003283793065366951206458365888126557799164531678911158883559092506237771838274860557119948264674885353942824322652028381621100512147873521118947576251<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 28, 2022 20:01:59 UTC 2022 年 1 月 29 日 (土) 5 時 1 分 59 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 8, 2022 17:59:30 UTC 2022 年 2 月 9 日 (水) 2 時 59 分 30 秒 (日本時間)

2×10244-1379

c206

composite cofactor 合成数の残り
62708585932210459226476300952127255614979596612633753193460018023613498268780506029031537828004675212388650364573585389863073661674968285532491076227456644468220548801019849535684125572361399444471921027523<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 14:00:59 UTC 2022 年 1 月 28 日 (金) 23 時 0 分 59 秒 (日本時間)

2×10245-1379

c235

composite cofactor 合成数の残り
2210235230923666149580023617429438871247292446494797624240557644922359943857055904529656947562054313564597962139138246359519233161431053831868727682202456044568390780465571694369080763550824148052099561822166192816584423289345688512601<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 14:00:51 UTC 2022 年 1 月 28 日 (金) 23 時 0 分 51 秒 (日本時間)

2×10246-1379

c241

composite cofactor 合成数の残り
5025719117584237334559608798023887242965877880051161820617007536065816817563883172133392636818920827333881136717150015202800330692317937042816614022258909971780587154764507366447796599095873130746595703512726377235502684990438569378795988471<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 14:00:43 UTC 2022 年 1 月 28 日 (金) 23 時 0 分 43 秒 (日本時間)

2×10247-1379

c208

composite cofactor 合成数の残り
3552278807635033901771440832073502719040186824057735014657352755503054476448878964433275717363883303711660293407535014975753618518709278210058802363873263002215857548908768240348599285343840124155795258021037<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 14:00:36 UTC 2022 年 1 月 28 日 (金) 23 時 0 分 36 秒 (日本時間)

2×10248-1379

c217

composite cofactor 合成数の残り
5277296778514447149696015125671120036420070402394349036499931540685337219778466440926576123006490942556928240645339864800414709072667365600941555566500185903449686862396881863497160544978748708673064672757271426019767<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 14:00:29 UTC 2022 年 1 月 28 日 (金) 23 時 0 分 29 秒 (日本時間)

2×10249-1379

c240

composite cofactor 合成数の残り
155125935812070790042034961146805592819616995201553106721865106689044802197413361006639940206887987322855980414072986518714542166299955275788815660891990231440284977568999489402749585665276470456862332847671025841430868595146895320918535349<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 14:00:20 UTC 2022 年 1 月 28 日 (金) 23 時 0 分 20 秒 (日本時間)

2×10252-1379

c221

name 名前Marlon Trifunovic
date 日付February 18, 2022 17:08:28 UTC 2022 年 2 月 19 日 (土) 2 時 8 分 28 秒 (日本時間)
composite number 合成数
14525861658844224408210232623636856235058768972245412920722536548013708488083293964395748105550524762222305966423669626887385390633461333067130900678798943480128583710842176056503763626300165687130551858362919702355812617<221>
prime factors 素因数
14563542408137334161975670197840238251311219<44>
composite cofactor 合成数の残り
997412665940941968079261988151999872542918113954645752338833725228005777756276333629801688330015667317891355593497255793308604252777779765179216705081790356622766077256032445843<177>
factorization results 素因数分解の結果
Run 541 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:658227876
Step 1 took 20714ms
Step 2 took 8422ms
********** Factor found in step 2: 14563542408137334161975670197840238251311219
Found prime factor of 44 digits: 14563542408137334161975670197840238251311219
Composite cofactor 997412665940941968079261988151999872542918113954645752338833725228005777756276333629801688330015667317891355593497255793308604252777779765179216705081790356622766077256032445843 has 177 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e6602 / 2078Marlon TrifunovicFebruary 18, 2022 12:43:50 UTC 2022 年 2 月 18 日 (金) 21 時 43 分 50 秒 (日本時間)

2×10253-1379

c214

composite cofactor 合成数の残り
5332216106492725825168629309379837197638153583795091500096266295950036224532763812648760991997467245124874663164558916142307963577072065248908903749588498863162985313415876581257585331028348688896062165976321893591<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 09:21:34 UTC 2022 年 1 月 28 日 (金) 18 時 21 分 34 秒 (日本時間)

2×10254-1379

c249

composite cofactor 合成数の残り
707196073647399109640143277924520963059613093028107507947115877612647494581110085676804322382402132903358120555714674672126220355224587793088572772243968501486879744843656628018401241836305324832836528091596035458811132680591357356783955135481087809<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 11, 2022 05:40:19 UTC 2022 年 1 月 11 日 (火) 14 時 40 分 19 秒 (日本時間)

2×10255-1379

c200

composite cofactor 合成数の残り
13162063779658271224807659239782551096264241055681644890799128033928686677698398595779072505774519413137579221188029458912797415817429548574224946590624947401350832931096950497850005585047795991774261<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 28, 2022 09:21:21 UTC 2022 年 1 月 28 日 (金) 18 時 21 分 21 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 8, 2022 17:59:48 UTC 2022 年 2 月 9 日 (水) 2 時 59 分 48 秒 (日本時間)

2×10258-1379

c217

composite cofactor 合成数の残り
4636116432264252045207493072964720497918995748362920356845137131867606483222316226514011642021517724185990860325335675364274503353775341771043624998107729422354551830280691592993331922797985948405599881170415880823091<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 09:21:11 UTC 2022 年 1 月 28 日 (金) 18 時 21 分 11 秒 (日本時間)

2×10259-1379

c236

composite cofactor 合成数の残り
75350112628213975529256982799644864600431429488391227135643307307645103682467386138669774752959659248061949630819030749449090160283076700741276742793487197907594970174940570737530947885990521845324991941985830908913545188858177293314999<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 09:21:03 UTC 2022 年 1 月 28 日 (金) 18 時 21 分 3 秒 (日本時間)

2×10262-1379

c253

composite cofactor 合成数の残り
1522322002262212968145511586406041477172638363635753724973075472838916901444322721327813860497056442705333741734877419029422247757712381048673038413759393060618201975145039382900635069589126641127883725349322683825030754266874419198619432725444118512183<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 11, 2022 05:38:54 UTC 2022 年 1 月 11 日 (火) 14 時 38 分 54 秒 (日本時間)

2×10263-1379

c174

name 名前Ignacio Santos
date 日付January 7, 2022 13:35:13 UTC 2022 年 1 月 7 日 (金) 22 時 35 分 13 秒 (日本時間)
composite number 合成数
326728973903174151874156224589833873629296724021897798114820022601132680897381218299930548876982391804531579728263497398889496536348083011870215086912550992224465152736549037<174>
prime factors 素因数
44118051437116499554745165829409753150769<41>
7405788861026105810995633852373579495958830341300070745891518758514720615571213449696413224785015806788823799163077815110636900314173<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2128562547
Step 1 took 31125ms
Step 2 took 13656ms
********** Factor found in step 2: 44118051437116499554745165829409753150769
Found prime factor of 41 digits: 44118051437116499554745165829409753150769
Prime cofactor 7405788861026105810995633852373579495958830341300070745891518758514720615571213449696413224785015806788823799163077815110636900314173 has 133 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 31, 2021 13:17:15 UTC 2021 年 12 月 31 日 (金) 22 時 17 分 15 秒 (日本時間)

2×10264-1379

c257

composite cofactor 合成数の残り
17771097266893207283295841205151937061597582014746794162916054374617271653017975260517843909895169985476837325090529745835723212707656715465300062178403672269298303159654000645854987970699832296820756918836848629640923161942740262858164136715503685632274893<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 11, 2022 05:38:40 UTC 2022 年 1 月 11 日 (火) 14 時 38 分 40 秒 (日本時間)

2×10265-1379

c229

composite cofactor 合成数の残り
6504368722149502929653127802066069587848511080662775796746493203239325247689073361496644729750599840506843767807032922469634388721282626733856306254990151920780707803656125684107460362602404607392509707732683093729591111003295309<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 09:20:55 UTC 2022 年 1 月 28 日 (金) 18 時 20 分 55 秒 (日本時間)

2×10266-1379

c239

composite cofactor 合成数の残り
30448691122738603424883318051687349446090549364657449731650764690545348186022055147512398094219158722585624200395227842101171103387490196408847608349915266473697608537686414036145780751633644794244428921395171886007970825679140763502260863<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 09:20:45 UTC 2022 年 1 月 28 日 (金) 18 時 20 分 45 秒 (日本時間)

2×10268-1379

c242

composite cofactor 合成数の残り
14288704628687812240533379960820957089090098943729129572951976746649852846255647986853682765333416565876384869534244053037584039624255316988271384709940377102783044224176363030659917088361967207771110918817387803506995038391709762102158138999<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 09:20:37 UTC 2022 年 1 月 28 日 (金) 18 時 20 分 37 秒 (日本時間)

2×10270-1379

c222

composite cofactor 合成数の残り
767141028444730914775204302477043705000422137643166059394642321802334693997990597789357590887891509874311446594033020083794305483488998760181721252888130155951854495135197763851548384531854578679017457876788110311271740257<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 09:20:29 UTC 2022 年 1 月 28 日 (金) 18 時 20 分 29 秒 (日本時間)

2×10271-1379

c241

composite cofactor 合成数の残り
5441345969561061696640531942220527474402531456076563293778737083088078633034571336549799970064909158749546591675948163122594952795470917691407749087053055845966580757537524317731840021311573940082851562109094670163302123277967493845612207681<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 09:20:21 UTC 2022 年 1 月 28 日 (金) 18 時 20 分 21 秒 (日本時間)

2×10272-1379

c220

composite cofactor 合成数の残り
1429954659079945028460674299250765829922906762867323599473501134253842821260715732699986776581534117156614149303566224391046881147615283176664632476258600136695687432463422339926583975164308699316750802373610379956426419<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 28, 2022 09:19:41 UTC 2022 年 1 月 28 日 (金) 18 時 19 分 41 秒 (日本時間)

2×10274-1379

c265

composite cofactor 合成数の残り
4410710037330192159730331905315015046752457901193493654090823523435096933180977969724468609525025846413475339486303387166201508444616534471544934153825346966194977197514557042900570270249913651364197560428206753302402201501116662878451163679977851919475828978522981<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 11, 2022 05:37:02 UTC 2022 年 1 月 11 日 (火) 14 時 37 分 2 秒 (日本時間)

2×10276-1379

c263

composite cofactor 合成数の残り
10919639623100516221088889175422197042214630313129514743129997729848682717400687748322318406709923171503795788592447066038640024327043914417067682969983478570897638392948520497421666617037824805004958180070907077785816876901411925926085366172017407238092389194843<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 11, 2022 05:38:11 UTC 2022 年 1 月 11 日 (火) 14 時 38 分 11 秒 (日本時間)

2×10278-1379

c263

name 名前Dmitry Domanov
date 日付January 11, 2022 06:43:48 UTC 2022 年 1 月 11 日 (火) 15 時 43 分 48 秒 (日本時間)
composite number 合成数
39236025151382515106770284368820690840139603446425459773245604290275779503425306418830554054995847451034691018068390929330145845183934951569122319600797133443136306698960924303675510706627675174717970487808691152706151745810054702851321787274269332410204949756889<263>
prime factors 素因数
179880568926258770806081449060488754907<39>
218122643182583811651610424517712513249201141603515306795850223971636502057046156580627036186922758853940984670942213897631439413682213635487063699770253341925620519333967279431970851803351370151889256321323339791940663899227<225>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2079338435
Step 1 took 15702ms
Step 2 took 6536ms
********** Factor found in step 2: 179880568926258770806081449060488754907
Found prime factor of 39 digits: 179880568926258770806081449060488754907
Prime cofactor 218122643182583811651610424517712513249201141603515306795850223971636502057046156580627036186922758853940984670942213897631439413682213635487063699770253341925620519333967279431970851803351370151889256321323339791940663899227 has 225 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 10, 2022 21:55:27 UTC 2022 年 1 月 11 日 (火) 6 時 55 分 27 秒 (日本時間)

2×10285-1379

c263

composite cofactor 合成数の残り
20872485768163137500097331335290571909259409529693845847767320890416043118419262894644814075430761737604870857276978864904753972873497750666189164320827227232396895179765263775587413992630068565562340005412405774880019501021907801471232971874279632913382084098209<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 10, 2022 21:55:16 UTC 2022 年 1 月 11 日 (火) 6 時 55 分 16 秒 (日本時間)

2×10287-1379

c248

name 名前Dmitry Domanov
date 日付January 28, 2022 13:59:31 UTC 2022 年 1 月 28 日 (金) 22 時 59 分 31 秒 (日本時間)
composite number 合成数
82120765925961285556567568663634675019186312436790957786071898321744844644155318110419342615452446950114300059823246714224559470902986875232203743867228268849723524262842929434741851830190217736273095854999807376464201689565606056139255055031934523<248>
prime factors 素因数
12565149153878590875443082206226250785014707<44>
composite cofactor 合成数の残り
6535598178761958754374118144211502558775513268532385357620103454036032107120947963554109239000978019464999648219177384992813308888707724840925909062798789929231120913318821699527152625912200659406663980889<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1575868237
Step 1 took 15123ms
Step 2 took 5641ms
********** Factor found in step 2: 12565149153878590875443082206226250785014707
Found probable prime factor of 44 digits: 12565149153878590875443082206226250785014707
Composite cofactor 6535598178761958754374118144211502558775513268532385357620103454036032107120947963554109239000978019464999648219177384992813308888707724840925909062798789929231120913318821699527152625912200659406663980889 has 205 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 27, 2022 21:14:34 UTC 2022 年 1 月 28 日 (金) 6 時 14 分 34 秒 (日本時間)

2×10288-1379

c234

composite cofactor 合成数の残り
507673339403592594540833033946716490203817537867848454619786350604871951341961693161356276597124837128716099165423297688961131766432700024598023177721939872197592449799706350297136533752037919046523861090140226764508556154429574358517<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 27, 2022 21:14:23 UTC 2022 年 1 月 28 日 (金) 6 時 14 分 23 秒 (日本時間)

2×10290-1379

c247

name 名前Dmitry Domanov
date 日付January 28, 2022 09:04:25 UTC 2022 年 1 月 28 日 (金) 18 時 4 分 25 秒 (日本時間)
composite number 合成数
2268616064209608807806986847650473605805390772659096207306595948645648933855360857594085927220963437073645003880395442250990698351537095986808431146341017153613472753055588530555430899834922122618987832868037617215623887098680061075834561160047139<247>
prime factors 素因数
25038905936671997909962467834085910317817<41>
90603641786400588916351825716282524313398724370121972215997361478451667264400935533385245808248834612216166141153527063779680055158409502586215266490236809628939243906192078098808819254368287819307274070267<206>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1464680445
Step 1 took 15796ms
Step 2 took 5133ms
********** Factor found in step 2: 25038905936671997909962467834085910317817
Found probable prime factor of 41 digits: 25038905936671997909962467834085910317817
Probable prime cofactor 90603641786400588916351825716282524313398724370121972215997361478451667264400935533385245808248834612216166141153527063779680055158409502586215266490236809628939243906192078098808819254368287819307274070267 has 206 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 27, 2022 21:14:14 UTC 2022 年 1 月 28 日 (金) 6 時 14 分 14 秒 (日本時間)

2×10291-1379

c270

composite cofactor 合成数の残り
284764128140241160031998460064479543534995897962627047903799426441009388881521905635340787175572853409746613287373451082479647379286185593579886965814974241663636722125457405792425799784892833851242710843901879911404642219001788955620610836654602069390200233633609346971<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 10, 2022 21:57:29 UTC 2022 年 1 月 11 日 (火) 6 時 57 分 29 秒 (日本時間)

2×10292-1379

c283

composite cofactor 合成数の残り
7764015280409715875212518130533335322318767868694346245276228013363176204955285935450954448197425796711813518778484277158843872549873934965720574005435455885956603160037992851629982045788422197695930871866342063902133823411331939076904088052843263781976214848349486054622610710720649<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 11, 2022 04:57:42 UTC 2022 年 1 月 11 日 (火) 13 時 57 分 42 秒 (日本時間)

2×10293-1379

c285

composite cofactor 合成数の残り
158550770990343734036389943511142862171408095366601770488418765558403832953473036048465580876264305945890707714364104731406230048491223292456574237996413059928161866505211879754863796797666204950173711831727060625330218149982022998295109108817818489937390211072703693071024749806268993<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 10, 2022 21:56:34 UTC 2022 年 1 月 11 日 (火) 6 時 56 分 34 秒 (日本時間)

2×10294-1379

c195

composite cofactor 合成数の残り
212708019326393490255865920670006851923910609672708060874650017384897405528263482416551965872711873448841509764216232906144888908231887993894836526757074460959265584868517489164991547481227075859<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 31, 2021 14:54:22 UTC 2021 年 12 月 31 日 (金) 23 時 54 分 22 秒 (日本時間)
4511e64480Ignacio SantosJanuary 8, 2022 23:41:08 UTC 2022 年 1 月 9 日 (日) 8 時 41 分 8 秒 (日本時間)

2×10295-1379

c275

composite cofactor 合成数の残り
16713078547526651783778066167049321195455197603966216009914934951112260009163839697867495700306426694328541046184704715143498277910430439360322158844207726126475995191314797275031802312588694547185321307960859157582584955729394031486921416984768339664229563792357474976858639<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 11, 2022 04:57:11 UTC 2022 年 1 月 11 日 (火) 13 時 57 分 11 秒 (日本時間)

2×10296-1379

c174

name 名前Ignacio Santos
date 日付December 31, 2021 13:04:32 UTC 2021 年 12 月 31 日 (金) 22 時 4 分 32 秒 (日本時間)
composite number 合成数
200471802924600408878268580038343843736041991348650761574589246923328403385727307453856723674636742000010254726694008359345971060770293318827647956406711849805719316088929231<174>
prime factors 素因数
21799185946103338645541809440606869<35>
composite cofactor 合成数の残り
9196297670025392237784476853081060808304632112941980986316433032842600093964278135542941082743297745351410607350249794104780120894970066899<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2813470451
Step 1 took 5891ms
********** Factor found in step 2: 21799185946103338645541809440606869
Found prime factor of 35 digits: 21799185946103338645541809440606869
Composite cofactor 9196297670025392237784476853081060808304632112941980986316433032842600093964278135542941082743297745351410607350249794104780120894970066899 has 139 digits
 
software ソフトウェア
GMP-ECM

c139

name 名前Ignacio Santos
date 日付January 9, 2022 14:22:51 UTC 2022 年 1 月 9 日 (日) 23 時 22 分 51 秒 (日本時間)
composite number 合成数
9196297670025392237784476853081060808304632112941980986316433032842600093964278135542941082743297745351410607350249794104780120894970066899<139>
prime factors 素因数
103777491911883467320201940707174209749335062301<48>
composite cofactor 合成数の残り
88615532140956785423382468320598131121432069901579097493845559735866975557767499969023969199<92>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1498658088
Step 1 took 21516ms
Step 2 took 10578ms
********** Factor found in step 2: 103777491911883467320201940707174209749335062301
Found prime factor of 48 digits: 103777491911883467320201940707174209749335062301
Composite cofactor 88615532140956785423382468320598131121432069901579097493845559735866975557767499969023969199 has 92 digits
 
software ソフトウェア
GMP-ECM

c92

name 名前Dmitry Domanov
date 日付January 10, 2022 15:12:43 UTC 2022 年 1 月 11 日 (火) 0 時 12 分 43 秒 (日本時間)
composite number 合成数
88615532140956785423382468320598131121432069901579097493845559735866975557767499969023969199<92>
prime factors 素因数
31417722365513619655489600396324294335134683<44>
2820558763299393329624913456662011511884460357053<49>
factorization results 素因数分解の結果
SIQS elapsed time = 787.6113 seconds.

P44 = 31417722365513619655489600396324294335134683
P49 = 2820558763299393329624913456662011511884460357053
software ソフトウェア
YAFU/SIQS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 1, 2022 15:35:49 UTC 2022 年 1 月 2 日 (日) 0 時 35 分 49 秒 (日本時間)

2×10297-1379

c265

name 名前Dmitry Domanov
date 日付January 11, 2022 07:28:06 UTC 2022 年 1 月 11 日 (火) 16 時 28 分 6 秒 (日本時間)
composite number 合成数
2264323051957039832531981687076505236267435130233342196853248040012288297217987271057229297545894784713165261524228085698679970992610473261690788366145670523221982465921627425041870950152047901191517885253513371807480754668698964000447070394565222575495310783092421<265>
prime factors 素因数
380699294549765289005515742071255313<36>
composite cofactor 合成数の残り
5947799442693860506535496752347210932748127386723753428496368453711787662323767516004964855290466317110838270165025868124013369636797273699613292475728012932371520170671477702338915998344975737209549320386430323718947831700441717<229>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:685173303
Step 1 took 16054ms
Step 2 took 6496ms
********** Factor found in step 2: 380699294549765289005515742071255313
Found prime factor of 36 digits: 380699294549765289005515742071255313
Composite cofactor 5947799442693860506535496752347210932748127386723753428496368453711787662323767516004964855290466317110838270165025868124013369636797273699613292475728012932371520170671477702338915998344975737209549320386430323718947831700441717 has 229 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 10, 2022 21:54:32 UTC 2022 年 1 月 11 日 (火) 6 時 54 分 32 秒 (日本時間)

2×10298-1379

c263

composite cofactor 合成数の残り
23555637913259557158556341882540422613698878509791135274609669694997276229882255735165512579303999952046243026178654843677361524760234898026039758522648883480365767386101854500856216183316697206176344576496877814450132103350961799076312791579270755550597463756757<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 10, 2022 21:54:15 UTC 2022 年 1 月 11 日 (火) 6 時 54 分 15 秒 (日本時間)

2×10300-1379

c275

composite cofactor 合成数の残り
31023794954621789123393942253367453075319974919462240951945342020623334227572654943383445188874842615884641949866388524699638842436985765969360158042644665596672937987437104564219774483736061885855964089120470092977509976317025110892232275890083333234664656333378611623781403<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2021 00:16:55 UTC 2021 年 12 月 29 日 (水) 9 時 16 分 55 秒 (日本時間)
4511e636001800Dmitry DomanovDecember 31, 2021 09:19:58 UTC 2021 年 12 月 31 日 (金) 18 時 19 分 58 秒 (日本時間)
1800Dmitry DomanovJanuary 4, 2022 00:09:28 UTC 2022 年 1 月 4 日 (火) 9 時 9 分 28 秒 (日本時間)
5043e6200 / 6702Dmitry DomanovJanuary 6, 2022 14:42:50 UTC 2022 年 1 月 6 日 (木) 23 時 42 分 50 秒 (日本時間)